Page 34 - Math Course 2 (Book 1)

More Two-Step Equations

REAL WORLD EXAMPLE
Your Turn!

COMMUNITY SERVICE Real World Example
In a canned food drive, Sam collected 12 more SHOPPING
cans than Louise. Together, they collected 128 Tami spent $175 at the grocery store. That is $25
cans. How many cans did Sam collect?
less than four times as much as Ted spent. How
much did Ted spend?
Let x = number of cans collected by Louise.
Then x + 12 = number of cans collected by Sam.
A. $8.33
B. $37.50
x + (x + 12) = 128 Write the equation.
C. $50
D. $600
(x + x) + 12 = 128 Associative Property.
2x + 12 = 128 Combine like terms.

2x + 12 – 12 = 128 – 12 Subtract 12 from each Answer
side.

2x = 116 Simplify.

x = 58 Mentally divide each side
by 2.

So, Louise collected 58 cans
Answer and Sam collected 58 + 12
or 70 cans.

GARDENING
During the summer, Kyle picked eight more tomatoes from his
garden than Matt picked from his garden. Together, they picked
32 tomatoes. How many tomatoes did Kyle pick?
A. 24 tomatoes

B. 21 tomatoes
C. 20 tomatoes

D. 12 tomatoes

Answer

26