Maths-

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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.

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