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chelbell409
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charles opened the trunk and found $6750 in $1 bills and $10 bills. If there were 150 more ones than tens, how many of each kind were there?
 3 years ago
 3 years ago
chelbell409 Group Title
charles opened the trunk and found $6750 in $1 bills and $10 bills. If there were 150 more ones than tens, how many of each kind were there?
 3 years ago
 3 years ago

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lokisan Group TitleBest ResponseYou've already chosen the best response.0
Let\[n_1, n_{10}\]be the number of $1 and $10 bills respectively. You know that\[n_1=n_{10}+150\]since the number of 1s is 150 more than the number of 10s. You also know\[6750=n_1$1+n_{10}$10\]that is\[6750=n_1+10n_{10}\]
 3 years ago

lokisan Group TitleBest ResponseYou've already chosen the best response.0
Sub. the expression for n_1 into the second equation to find\[6750=(n_{10}+150)+10n_{10}=11n_{10}+150\]
 3 years ago

lokisan Group TitleBest ResponseYou've already chosen the best response.0
Then\[n_{10}=\frac{6750150}{11}=600\]
 3 years ago

lokisan Group TitleBest ResponseYou've already chosen the best response.0
There are 600 $10 bills. So the number of $1s is,\[n_1=675010 \times 600=750\]
 3 years ago

chelbell409 Group TitleBest ResponseYou've already chosen the best response.0
thanks so very much
 3 years ago

lokisan Group TitleBest ResponseYou've already chosen the best response.0
No probs :)
 3 years ago
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