3000 exercise books are arranged into 3 piles. The first pile has 10 more books than the second pile. The number of books in the

Question

3 years ago

6

second pike is twice the number of books in the third pile. How many books are there in the third pile.

1 answer:

pochemuha · Answer 1 · 2022-08-16T18:00:28+03:00

Answer:

598 books

Step-by-step explanation:

Let x be the number of books in the 3rd pile. We will have then:

1st pile: 2x + 10

2nd pile: 2x

3rd pile: x

3000 = (2x + 10) + (2x) + (x)

3000 = 5x + 10

3000 - 10 = 5x

2990 = 5x

2990/5 = x

x = 598 books in the third pile!

We can check that:

3000 = 2*598 + 10 + 2*598 + 598

3000 = 1196 + 10 + 1196 + 598

3000 = 3000 CHECK!