Jackson is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Jackson can wrap a single gift in 6 minutes and he can do a giftbag in 2 minutes. Jackson prepared a total 25 gifts in 110 minutes. Write a system of equations that could be used to determine the number of gifts Jackson wrapped and the number of giftbags he prepared. Define the variables that you use to write the system.

Question

Jackson is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Jackson can wrap a single gift in 6 minutes and he can do a giftbag in 2 minutes. Jackson prepared a total 25 gifts in 110 minutes. Write a system of equations that could be used to determine the number of gifts Jackson wrapped and the number of giftbags he prepared. Define the variables that you use to write the system.

Give 2 systems of equations

Answer 1

Let:

x = number of gifts wrapped with wrapping paper
y = number of gifts prepared in gift bags

System 1:
x + y = 25 -----> Equation 1 (total number of gifts)
6x + 2y = 110 -----> Equation 2 (total time in minutes)

System 2:
x + y = 25 -----> Equation 1 (total number of gifts)
6(x+y) + 2y = 110 -----> Equation 2 (total time in minutes, considering that wrapping a gift takes 6 minutes and preparing a gift bag takes 2 minutes)