Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.


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