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. 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?

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.

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
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.
In the given situation,
A refers to the cost of 1 mango candy,
B refers to the cost of 1 strawberry candy &
C refers to the total amount spent by Alex.
Final Answer:-
∴ 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.