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The ratio of speed boats to canoes to yachts in a harbour is 6 : 7 : 9. There are 15 more yachts than speed boats. How many canoes are in the harbour?

Sagot :

MathPhys

Answer:

35

Step-by-step explanation:

If S is the number of speed boats, C is the number of canoes, and Y is the number of yachts, then we can use the ratios and quantities provided in the problem statement to write a system of equations.

S / C = 6 / 7

S / Y = 6 / 9

Y = S + 15

Substitute the third equation into the second, then solve for S by cross-multiplying.

S / (S + 15) = 6 / 9

9S =  6(S + 15)

9S = 6S + 90

3S = 90

S = 30

There are 30 speed boats. Substitute into the first equation to find the number of canoes.

30 / C = 6 / 7

210 = 6C

C = 35

There are 35 canoes.

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