Question

Ving Advanced Linear Equations: Practice

Answer 1

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.