Maths-
General
Easy
Question
A mango candy costs $5 and a strawberry candy costs $3. Alex wants to buy both types of candies and he has $40 with him .Application Write an equation in standard form Ax + By = C that models this situation. What do the values of A, B, and C mean in this situation?
Hint:
1. Cost of candy = Number of candies × Rate per candy
2. Total Amount spent by Alex = Cost of Mango candies + Cost of Strwaberry candies
The correct answer is: The given situation can be represented in the form of an equation as- 5x + 3y = 40. Also, the values A, B & C in this situation refers to the per candy costs of mango and strwaberry candies and the total amount spent by Alex , respectively.
Step-by-step solution:-
Let the number of mango candies and strawberry candies bought by Alex be x & y, respectively.
Now, we know that-
Cost of candies = Number of candies * Rate per candy
Cost of Mango candies = x × $5 …...................................................................... (From given information)
∴ Cost of Mango candies = 5x ............................................................................... (Equation i)
Cost of Strawberry candies = y × $3 …................................................................ (From given information)
∴ Cost of Strawberry candies = 3y ......................................................................... (Equation ii)
Total Amount spent by Alex = Cost of Mango candies + Cost of Strwaberry candies
∴ Total Amount spent by Alex = 5x + 3y .................... (From Equations i & ii) ................ (Equation iii)
Now, it is given that the Total amount that can be spent by Alex on candies = $40 ..................... (Equation iv)
∴ Equating Equations iii & iv, we get-
5x + 3y = 40 .............................................................................................................. (Equation v)
Comparing Equation v with the standard form of equations i.e. Ax + By = C, we get-
A = 5, B = 3 & C = 40.
Related Questions to study
Maths-
If the equation of a line is 2x – 3y = 6, find its slope and y-intercept.
If the equation of a line is 2x – 3y = 6, find its slope and y-intercept.
Maths-General
Maths-
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
Maths-General
Maths-
An insulated collar is made to cover a pipe. Find the volume of the material used to make the collar. Let r=3 inches, R=5 inches and h= 21 inches.
An insulated collar is made to cover a pipe. Find the volume of the material used to make the collar. Let r=3 inches, R=5 inches and h= 21 inches.
Maths-General
Maths-
Find the slope and write the equation of the given line.
Find the slope and write the equation of the given line.
Maths-General
Maths-
Find the value of p so that
![left parenthesis 4 divided by 5 right parenthesis cubed divided by left parenthesis 4 divided by 5 right parenthesis to the power of negative 3 end exponent equals left parenthesis 4 divided by 5 right parenthesis to the power of 3 p end exponent](data:image/png;base64,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)
Find the value of p so that
![left parenthesis 4 divided by 5 right parenthesis cubed divided by left parenthesis 4 divided by 5 right parenthesis to the power of negative 3 end exponent equals left parenthesis 4 divided by 5 right parenthesis to the power of 3 p end exponent](data:image/png;base64,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)
Maths-General
Maths-
The diameter of a cylinder is 7 yards. The height is 12 yards. What is the volume in terms of π and to the nearest cubic yard of the cylinder?
The diameter of a cylinder is 7 yards. The height is 12 yards. What is the volume in terms of π and to the nearest cubic yard of the cylinder?
Maths-General
Maths-
Which of the following lines pass through origin?
Which of the following lines pass through origin?
Maths-General
Maths-
If ax=b, by=c and cz =a then prove that xyz=1.
If ax=b, by=c and cz =a then prove that xyz=1.
Maths-General
Maths-
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
You can rent books at a local store for $5.00 each. An Internet company offers a flat fee of $20.00 per month for as many books as you want. How many books do you need to rent to make the online rental a better buy?
Maths-General
Maths-
Manoj has a set of blocks that are of the same height. The cone shaped block has a volume of 125 cubic inches. The sphere-shaped block has a volume of 250 cubic inches. What do you know about the radius of the base cone – shaped block?
Manoj has a set of blocks that are of the same height. The cone shaped block has a volume of 125 cubic inches. The sphere-shaped block has a volume of 250 cubic inches. What do you know about the radius of the base cone – shaped block?
Maths-General
Maths-
The slope of a line is –½ and it passes through origin. Find its equation.
The slope of a line is –½ and it passes through origin. Find its equation.
Maths-General
Maths-
A water pipe is a cylinder 30 inches long, with a radius of 1 inch. At one end of the cylinder there is a hemisphere. What is the volume of the water pipe?
A water pipe is a cylinder 30 inches long, with a radius of 1 inch. At one end of the cylinder there is a hemisphere. What is the volume of the water pipe?
Maths-General
Maths-
The graph shows the subscription cost to a certain club in town. Write an equation of the
line. Explain what the slope and y-intercept mean in this situation. Then find the total
cost for 2 years.
The graph shows the subscription cost to a certain club in town. Write an equation of the
line. Explain what the slope and y-intercept mean in this situation. Then find the total
cost for 2 years.
Maths-General
Maths-
Find a value for k so that the line through (k, 6) and (4, 2) is perpendicular to the line with equation x + 2y = 2.
Find a value for k so that the line through (k, 6) and (4, 2) is perpendicular to the line with equation x + 2y = 2.
Maths-General
Maths-
Find a value for k so that the line through (35, k) and (42, 27) is parallel to the line with equation y = x.
Find a value for k so that the line through (35, k) and (42, 27) is parallel to the line with equation y = x.
Maths-General