Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.


Sagot :

The cost of cupcakes is $1.25 and cookies costs $0.90.

Two equations that would be used to determine the required values can be derived from this question:

20x + 40y = 61 equation 1

30x + 30y = 64.50 equation 2

In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.

60x + 120y = 183 equation 3

60x + 60y = 129 equation 4

Subtract equation 4 from 3

60y = 54

Divide both sides of the equation by 60

y = $0.90

Substitute for y in equation 1

20x + 40(0.9) = 61

20x + 36 = 61

20x = 61 - 36

20x = 25

x = 25 / 20

x = $1.25

To learn more about simultaneous equations, please check: : https://brainly.com/question/25739929