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LuckyWell [14K]
3 years ago
13

One weekend Drake and JaMarcus mowed lawns to earn spending money. Together they earned 15.50 an hour for 15 hours of work. Each

received half of the total earnings. If Drake then spent 38 dollars on a new video game, what was the total amount he had left, in dollars and cents,from the money he earned from mowing lawns that weekend?
Mathematics
1 answer:
FrozenT [24]3 years ago
3 0
Drake would then have $78.25 left.
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\bf \begin{array}{lccclll}&#10;&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\&#10;&------&------&------\\&#10;\textit{18\% solution}&x&0.18&0.18x\\&#10;\textit{40\% solution}&y&0.40&0.4y\\&#10;------&------&------&------\\&#10;mixture&10&0.20&2&#10;\end{array}

\bf \begin{cases}&#10;x+y=10\implies \boxed{y}=10-x\\&#10;0.18x+0.4y=2\\&#10;----------\\&#10;0.18x+0.4\left( \boxed{10-x} \right)=2&#10;\end{cases}&#10;\\\\\\&#10;0.18x-0.4x+4=2\implies -0.22x=-2&#10;\\\\\\&#10;x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
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