Question

In money safe are $100, $50 and $20 notes. There are thrice as many $50 as$100 notes. There are also six times as many $20 as $50 notes. Given thatthe total amount in the safe is $1,525,000.00; and let x denote the number of$100 notes in the safe. Write down the relevant equation for the problemand hence find the number of notes altogether in the safe.

Answer 1

Solution

- If the number of $100 notes is x.

- We are told that there are 3 times as many $50 notes as $100 notes. This means that if there are x $100 notes, then,

$\text{ There are }3x\text{ \ 50 notes}$

- Also, we are told that there are 6 times as many $20 notes as $50 notes. This implies that

$\text{ There are }6(3x)=18x\text{ \ 20 notes}$

- The total amount in the safe is $1,525,000. Thus, it means that if we take all the $100, $50, and $20 notes, they add up to $1,525,000.

- Thus, we have that: