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Pie
3 years ago
9

There are 2820 cars in Farmington. The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size ca

rs is 8 to 9.How many full-size cars are there?
Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

Number of full size cars = 900

Step-by-step explanation:

The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are  there in both ratios , we need to  make the number in the ratio for compact cars to be the same.

\frac{medium}{compact} = \frac{7}{5}

Multiply by 8 on numerator and denominator

\frac{medium}{compact} = \frac{56}{40}

\frac{compact}{full size} = \frac{8}{9}

Multiply numerator and denominator by 5.

\frac{compact}{full size} = \frac{40}{45}

Ratio of medium, compact and full size are in ratio 56,40,45.

Total number of cars =2820.

(56 + 40 + 45)x = 2820

x = \frac{2820}{141}

x = 20

Number of full size cars = 20\times 45 =900

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