Question #98145

The ratio of lights to bulbs is 3:5 The number of lights is 24 times the number of bulbs find the number of lights?

Expert's answer

The question is interpreted in the following way.

The ratio of lights to bulbs is 3:5. The number of lights **is 24 less than the number of** bulbs, find the number of lights?

**Solution:**

Let

the number of lights be x,

the number of bulbs be y.

According to the task,

the system of equations is

x/y=3/5,

x=y-24.

It follows from the first equation that

x=3y/5

Substituting for x into the second equation

3y/5=y-24

3y/5-y=-24

3y-5y=-120

-2y=-120

y=60

Substituting for y=60 into the second equation

x=60-24

x=36

Answer:

The number of lights is 36.

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