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2. of 350 solitaire games that jay played, he won 154 times. what perce…

Question

  1. 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.

  1. 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 } \\)

Explanation:

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 $350$: $15400\div350 = 44$.

Answer:

$\frac{154}{350}=\frac{n}{100}$, $n = 44$, Jay won $44\%$ of the solitaire games he played.