Question

Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1/6 of the bills to the theater and kept the rest. How much money did he keep

Answer 1

If Jack gave 1/6 of the money to the theater and kept the rest, that means he kept 5/6 of the money. Multiply 18 by 5/6. 18* 5/6 = 15. Jack kept 15 ten dollar bills. Each bill is worth 10 dollars, so multiply 15 by 10. 15*10=150. Jack kept 150 dollars.

Answer 2

$150

Further explanation

Given:

• Jack collected 18 ten dollar bills while selling tickets for a show.
• He gave $\frac{1}{6}$ of the bills to the theater and kept the rest.

Question:

How much money did he keep?

The Process:

From the information above, let us create a suitable diagram as follows:

$\boxed{theater}\boxed{kept}\boxed{kept}\boxed{kept}\boxed{kept}\boxed{kept} = 18 \ ten \ dollar$

• $\boxed{ \ 6 \ units = 18 \ ten \ dollar \ }$
• $\boxed{ \ 1 \ units = 18 \div 6 = 3 \ ten \ dollar \ }$

Let us calculate how much money did he keep.

Notice that he gave 1 unit of the bills to the theater and kept 5 units the rest.

$\boxed{ \ 1 \ units = 3 \ ten \ dollar \ }$

$\boxed{ \ 5 \ units = 5 \div 3 = 15 \ ten \ dollar \ }$

$\boxed{ \ 15 \ ten \ dollar = 15 \times 10 \ dollar \ }$

Thus he kept $150 the rest.

- - - - - - - - - -

Quick Steps:

Jack gave $\frac{1}{6}$ of the bills to the theater and kept the rest.

$\boxed{ \ Theater = \frac{1}{6} \times \ 180 \ dollar \ }$

$\boxed{ \ Theater = \frac{18}{6} \ or \ 18 \div 6 \ }$

$\boxed{ \ Theater = \ 30 \ }$

$\boxed{ \ The \ rest = \ 180 - \ 30 \ }$

Thus he kept $150 the rest.

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Keywords: Jack, collected, 18 ten dollar, bills, while selling, tickets, for a show, he gave, 1/6, the bills, to the theater, and kept the rest.