Question

1. At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90.


(a) Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.

(b) Use the substitution method to solve the system of equations.

(c) What would be the bill for one glass of orange juice and one pancake special?

Answer 1

"three glasses of orange juice and five pancake specials is $7.60"
3j + 5p = 7.60

"one glass of orange juice and two pancake specials is $2.90"
j + 2p = 2.90
:::::
Rearrange second equation to solve for j:
j = 2.90-2p

substitute into first equation:
3(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
p = 1.10
j = 2.90-2p = 0.70
:::::
j + p = 0.70 + 1.10 = 1.80



^Is that math correct?

Answer 2

yes I think it's correct. Another way to check is substitute your values for orange juice and pancake back into the original one.
E.g. 3j+5p = 7.60
3(0.7)+5(1.10)=7.60? If yes, then it's right

Answer 3

Thank you! Would you mind checking another problem for me?

Answer 4

sure