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Question
- of 350 solitaire games that jay played, he won 154 times. what percent of the games did jay win?
\\( \frac { } { 350 } = \frac { n } { } \\)
\\( n = \\)
jay won of the solitaire games he played.
- reasoning kevin drove his car to a concert. his car can go 400 miles with a full tank of gas. he used 30% of the full tank of gas to get to the concert while traveling 60 miles per hour. how long did it take kevin to get to the concert? \\( \circled { \mathrm { c } } \mathrm { mp.2 } \\)
Step1: Set up the proportion
The formula for percentage is $\frac{\text{part}}{\text{whole}}=\frac{n}{100}$. Here, the part is $154$ (games won) and the whole is $350$ (total games). So, $\frac{154}{350}=\frac{n}{100}$.
Step2: Cross - multiply
Cross - multiplying gives $350n = 154\times100$.
Step3: Solve for $n$
First, calculate $154\times100 = 15400$. Then, $n=\frac{15400}{350}$.
Dividing $15400$ by $350$: $15400\div350 = 44$.
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$\frac{154}{350}=\frac{n}{100}$, $n = 44$, Jay won $44\%$ of the solitaire games he played.