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Serggg [28]
3 years ago
10

There is an international tennis tournament at your local stadium and Gemma has been selected to work as a ball girl.

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

<u>45 applicants were selected to work in the international tennis tournament at your local stadium, but just 36 (Gemma included) completed all the training sessions.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of applicants to work in the international tennis tournament = 225

Number of successful applicants = 1/5 of 225

Number of successful applicants that couldn't make all the training sessions and were discounted = 20%

2. How many selected to work at the tournament?

For answering this question, we will make the following calculations:

Number of successful applicants = 1/5 of 225 (1/5 = 0.2)

Number of successful applicants = 225 * 0.2

Number of successful applicants = 45

Number of successful applicants that couldn't make all the training sessions and were discounted = 20% of 45

Number of successful applicants that couldn't make all the training sessions and were discounted = 0.2 * 45 = 9

<u>45 applicants were selected to work in the international tennis tournament at your local stadium, but just 36 (Gemma included) completed all the training sessions.</u>

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Which equation can be used to find two numbers such that twice the first equals three times the second and three times their dif
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Let the numbers be a and b and b>a

2a=3b  and 3(b-a)=2(b-a)+13

Solving the first for a:

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a=3b/2, now using this value of a in the second equation gives you:

3(b-3b/2)=2(b-3b/2)+13  upon performing indicated operations.

3b-9b/2=2b-6b/2+13  making all terms have a common denominator of 2

(6b-9b)/2=(4b-6b+26)/2  multiplying the whole equation by 2

6b-9b=4b-6b+26  combining like terms

-3b=-2b+26  adding 2b to both sides

-b=26  dividing both sides by -1

b=-26, since a=3b/2

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check...

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