SOLUTION: In a car park the ratio of white cars to red cars is 2:5 The ratio of white cars to blue cars is 3:13 Altogether there are 376 white, red and blue cars. How many red cars are th

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Question 1200848: In a car park the ratio of white cars to red cars is 2:5
The ratio of white cars to blue cars is 3:13
Altogether there are 376 white, red and blue cars.
How many red cars are there in the car park?

Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In a car park the ratio of white cars to red cars is 2:5
The ratio of white cars to blue cars is 3:13
Altogether there are 376 white, red and blue cars.
How many red cars are there in the car park?
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In a car park the ratio of white cars to red cars is 2:5 = 6:15
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The ratio of white cars to blue cars is 3:13 = 6:26
===================
6x + 15x + 26x = 376
47x = 376
x = 8
-----
---> 48 white, 120 red, 208 blue

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


The two given ratios both involve the number of white cars, so change each of those ratios into equivalent ratios in which the numbers representing the number of white cars is the same in both ratios.

white:red = 2:5 --> 6:15
white:blue = 3:13 --> 6:26

Now the ratio of red to white to blue is 15:6:26. Knowing that ratio,
let 15x = number of red cars
let 6x = number of white cars
let 26x = number of blue cars

The total number of cars is 376:

15x+6x+26x = 376
47x = 376
x = 376/47 = 8

ANSWER: red cars: 15(8) = 120

The problem only asks for the number of red cars; but it's a good idea to find the numbers of white and blue cars to verify that your calculations are correct.

CHECK:
white cars: 6(8) = 48
blue cars: 26(8) = 208
120 + 48 + 208 = 376


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