Question

A cash register contains only five dollar and ten dollar bills. It contains twice as many fives as tens and the total amount of money in the cash register is 740 dollars. How many tens are in the cash register?

Answer 1

There are 37 tens in the cash register

Step-by-step explanation

Given that;

The total amount in the cash register is $740

The cash register contain five dollar and ten dollar

Follow the steps below to find the number of ten dollar in the cash register.

Let x represents the number of $5 and $10 in the cash register.

Recall, that the register contain twice as many $5 as ten dollars and this can be expressed mathematically as

`\text{ 5\lparen2x\rparen+ 10\lparen x\rparen= 740}`

Evaluate x in the above expression

`\begin{gathered} \text{ 10x + 10x = 740} \\ \text{ 20x = 740} \\ \text{ Divide both sides by 20} \\ \text{ }\frac{\text{ 20x}}{\text{ 20 }}\text{ = }\frac{\text{ 740}}{\text{ 20}} \\ \text{ x = 37} \end{gathered}`

Therefore, we have 37 tens in the cash register