Question 124791
There are some quarters and dimes in a piggy bank. There are 10 more quarters than the number of dimes, and their ratio is 3/2. How many quarters and dimes are there?
:
Let x = no. of dimes
It says,"There are 10 more quarters than the number of dimes," therefore:
(x+10) = no. quarters
:
It says,"their ratio is 3/2."
:
{{{((x+10))/x}}} = {{{3/2}}}
Cross multiply and you have:
:
3x = 2(x+10)
:
3x = 2x + 20
:
3x - 2x = 20
:
x = 20 dimes, and 30 quarters
:
{{{30/20}}} = {{{3/2}}}