Question 170598
ok lets call the number of dimes and quarters d and q respectively.
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dimes are worth 10cents and quarters are 25 cents so if you take the number of dimes(d) and multiply it by 10cents and the number of quarters (q) and multiply it by 25 cents then it will equal $7.30 right!!!!
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.10d+.25q=7.30....eq 1.......and we know that the total number of coins(dimes and quarters) (d and q)=34
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d+q=34....eq 2--->d=34-q
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now we have two unknowns and two equations....take d's value from eq 2 and plug it into eq 1
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.10(34-q)+.25q=7.3--->distribute
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3.4-.1q+.25q=7.3---->combine like terms
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.15q=3.90
:{{{highlight(q=26)}}}quarters
{{{highlight(d=34-26=8)}}}dimes