Question

A student usually saves $20 a month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation 350=12(x+20) to represent the situation. Solve the equation for x.

Answer 1

x = 55/6

Explanation:

Divide both sides by 12:

`(350)/(12) = (12( + 20))/(12)`

Simplify:

175/6= x + 20

Subtract 20 from both sides and flip:

x =
`(55)/(6)`

Answer 2

In this case, x is the amount more he needs to save per month

350=12(x+20)
distribute
350=12x+240
minus 240 both sides
110=12x
divide both sides by 12
9.166666=x

needs to save about $9.17 more per month or 29.17 permonth