Answer:
(b) 25 muffins
(c) 38 muffins
Step-by-step explanation:
Given:
- A cookie cost $0.80
- A muffin costs $1.60
- buy 200 treats
- spend $200 or less
Forming system of linear equations:
muffins (m) + cookies (c) = 200 treats
1.60m + 0.80c = $200
Solve by Substitution:
m + c = 200
1.6m + 0.8c = 200
using m + c = 200, solve for m by subtracting c:
m + c - c = 200 - c
m = 200 - c
we can now plug in m tot he second equation,
1.6(200 - c) + 0.8c = 200
320 - 0.8c = 200
320 - 320 - 0.8c = 200 - 320
-0.8c = -120
-0.8c/-0.8 = -120/-0.8
c = 150
plug c back in to find m,
m = 200 - c
m = 200 - 150
m = 50
(b) if you buy 200 cookies, then how many muffins?
we use this equation as we want to stay in the price limit: 1.6m + 0.8c = 200
c = 200 so 1.6m + 0.8(200) = 200
1.6m + 0.8(200) = 200
1.6m + 160 = 200
1.6m = 200 - 160
1.6m = 40
1.6m/1.6 = 40/1.6
m = 25
Learn more about system of linear equations here: https://brainly.com/question/14323743
