Question

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1. in one soccer season, milica saved 155 out of 180 shots on goal. at this rate, about how many saves would she make out of 600 shots on goal?
2. in a single tennis season, akeem had 100 aces in 53 matches. at this rate, about how many aces would he have in 200 matches?

Explanation:

Question 13

Step1: Find the save rate

The save rate is the number of saves divided by the number of shots on goal. So, the rate $r = \frac{155}{180}$.

Step2: Calculate saves for 600 shots

To find the number of saves $x$ out of 600 shots, we use the proportion $x = 600\times\frac{155}{180}$.
Simplify the expression: $x=\frac{600\times155}{180}=\frac{93000}{180}\approx516.67$.

Question 14

Step1: Find the ace rate per match

The ace rate per match is the number of aces divided by the number of matches. So, the rate $r=\frac{100}{53}$.

Step2: Calculate aces for 200 matches

To find the number of aces $x$ in 200 matches, we use the proportion $x = 200\times\frac{100}{53}$.
Simplify the expression: $x=\frac{200\times100}{53}=\frac{20000}{53}\approx377.36$.

Answer:

516.67 (or approximately 517)