Question

Jamie and Bryan are best friends and decided to mow lawns together for their summer job. Jamie charges $15 per lawn and a one-time fee for gas of $30. Bryan charges $5 per lawn but has a one-time fee for gas of $50. How many lawns would they have to mow to make the same amount of money?

Answer 1

Jamie and Bryan would both need to mow 2 lawns to earn the same amount of money. We determine this by setting up an equation for each person's total earnings and solving for the number of lawns.

Step-by-step explanation:

To determine how many lawns Jamie and Bryan would need to mow to make the same amount of money, we set up an equation where Jamie's total earnings equal Bryan's total earnings.

Jamie's earnings for x lawns can be calculated as:

CostJamie = $15 \times x + $30

Bryan's earnings for x lawns can be calculated as:

CostBryan = $5 \times x + $50

To find where they earn the same amount:

$15 \times x + $30 = $5 \times x + $50

Subtracting $5 \times x from both sides, we get:

$10 \times x + $30 = $50

Subtracting $30 from both sides, we get:

$10 \times x = $20

Dividing by $10, we find that x = 2.

Therefore, they both need to mow 2 lawns to earn the same amount of money.