Question

Ving Advanced Linear Equations: Practice

Question 4 of 5

Type the correct answer in each box. Use numerals instead of words.

Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In

the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total

$46.21 on gas.

In the first week, Micah bought

g allons of gas.

In the second week, Micah bought

g allons of gas.

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Answer 1

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

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

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.