Answer:
The System of equations to find number of quarters and number of dimes is [tex]\left \{ {{0.1d+0.25q=5.5} \atop {d=3q}} \right.[/tex].
Step-by-step 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;
[tex]0.1d+0.25q=5.5 \ \ \ \ equation \ 1[/tex]
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;
[tex]d=3q[/tex]
Hence the System of equations to find number of quarters and number of dimes is [tex]\left \{ {{0.1d+0.25q=5.5} \atop {d=3q}} \right.[/tex].
