Question

Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags with 2 cookies and 7 candy bars and spent a total of $14.75 per bag. Each cookie (x) costs the same amount. Each candy bar (y)costs the same amount. Write the system of linear equations that represent the contents of

Answer 1

Answer: See explanation

Explanation:

The information given in the question can be presented into an equation as:

4x + 3y = 10.25 ...... equation i

2x + 7y = 14.75 ........ equation ii

Multiply equation i by 2

Multiply equation ii by 4

8x + 6y = 20.50 ...... equation iii

8x + 28y = 59 ...... equation iv

Subtract equation iii from iv

22y = 39.50

y = 39.50/22

y = 1.80

Each candy bar cost $1.80

From equation i

4x + 3y = 10.25

4x + 3(1.80) = 10.25

4x + 5.40 = 10.25

4x = 10.25 - 5.40

4x = 4.85

x = 4.85/4

x = 1.2125

Each cookie cost $1.2125