Question

Jo and Ellen are partners in a painting business. Because Jo is the office manager, she is to receive one-third more than Ellen when the profits are distributed. If the profit is $88,200, how much should each of them receive?

Answer 1

Jo's share = $50,400

Ellen's share = $37,800

Explanation:

Let

Ellen = x

Jo = 1/3x + x

Total profits = $88,200

Total profits = Jo's share + Ellen's share

88,200 = 1/3x + x + x

88,200 = 1/3x + 2x

88,200 = x+6x/3

88,200 = 7/3x

Divide both sides by 7/3

88,200 ÷ 7/3 = x

x = 88,200 × 3/7

= 264,600/7

= 37,800

Ellen = x = $37,800

Jo = 1/3x + x

= 1/3 * 37,800 + 37,800

= 37,800/3 + 37,800

= 12,600 + 37,800

= $50,400

Ellen + Jo

= $37,800 + $50,400

= $88,200