Below are three real-world problems and three systems of equations. Decide which system of equations represents each problem.
________________________________
Problem 1
Hailey is organizing a field trip. The school has small buses that can seat 16 students and large buses that can seat 32 students. There are 112 students and 4 bus drivers. How many buses of each size are required?
b.
x + y = 4
16x + 32y = 112
________________________________
Problem 2
Nicanor spends $6 on gum. Brand A costs $1 per pack. Brand B costs $2 per pack. Nicanor buys two more packs of brand A gum than brand B gum. How many packs of each gum does he buy?
a.
x = 2y
x + y = 6
________________________________
Problem 3
It takes Francisco 6 hours to read both a book and a magazine. It takes him twice as long to read the book as the magazine. How long does it take Francisco to read each?
c.
x + 2y = 6
y + 2 = x
________________________________