Houghton Mifflin Harcourt Algebra 1, 2015
HM
Houghton Mifflin Harcourt Algebra 1, 2015 View details
1. Solving Equations
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Exercise 22 Page 9

Write an equation to solve for the unknown value.

8 weeks

Practice makes perfect

In this exercise, the cost of a bike and weekly savings is related. The cost of the bike is given, and we need to use that cost to determine how long it will take to save enough money for the bike. We can rewrite the given information as algebraic expressions to create an equation for the number of weeks.

Given Information Algebraic Expression
Weekly savings 15
Weeks of weekly savings 15w
The bike costs $245, she has $125 and weekly adds $15 245 = 125 + 15w

Now that we have the equation we can solve it for w, the number of weeks.

245 = 125 + 15w
245 - 125 = 125 + 15w - 125
120 = 15w
120/15= 15w/15
8 = w
w = 8

Therefore, it will take 8 weeks to save enough money to buy the bike.