Question

Ted has $5.50 And quarters and dimes. The number of dimes Is 3 times the number of quarters. Which system of equations can be used to find q, the number of quarters, and d, the number of dimes, that Ted has?

Answer 1

The System of equations to find number of quarters and number of dimes is
`\left \{ {{0.1d+0.25q=5.5} \atop {d=3q}} \right.`.

Explanation:

Given:

Total number of money Ted has = $5.5

Let the number of quarter be 'q'.

Also Let number of dimes be 'd'.

Now dimes = $0.10

quarters = $0.25

Now we can say that 0.1 number of dimes multiplied by 0.25 number of quarters is equal to total amount of money Ted has.

framing in equation form we get;

`0.1d+0.25q=5.5 \ \ \ \ equation \ 1`

Also Given:

The number of dimes Is 3 times the number of quarters.

So we can say that Number of dimes is equal to 3 multiplied by number of quarters.

framing in equation form we get;

`d=3q`

Hence the System of equations to find number of quarters and number of dimes is
`\left \{ {{0.1d+0.25q=5.5} \atop {d=3q}} \right.`.