Lincoln and Michael had some money in the ratio 7:5. Lincoln spent all his money on 3 similar toothbrushes and 5 similar towels. Michael spent all his money on 5 similar toothbrushes and 3 similar towels. Express the cost of a toothbrush as a ratio to the cost of towel.

Answer 1

If
x = cost of toothbrush
y = cost of towel
(3x+5y)/(5x+3y) = 7/5
5(3x+5y) = 7(5x+3y)
15x + 25y = 35x + 21y
20x = 4y
x/y = 4/20 = 1/5

Answer 2

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Answer 3

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