1. Solving Equations
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Write an equation to solve for the unknown value.
8 weeks
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.
LHS-125=RHS-125
Subtract terms
.LHS /15.=.RHS /15.
Calculate quotient
Rearrange equation
Therefore, it will take 8 weeks to save enough money to buy the bike.