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blsea [12.9K]
3 years ago
8

the strength of students in a school when increased by 8% becomes 2160. find the original strength of students in the school.

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

1987.2

Step-by-step explanation:

We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.

\frac{92}{100}=\frac{y}{2160}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

92(2160)=100(y)

198720=100y

y=1987.2

There are 1987.2 as the original strength of students.


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This question is incomplete

Complete Question

In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the cash​ register, 7 cooked food and washed​ dishes, 6 cooked food and operated the cash​ register, 6washed dishes and operated the cash​ register, 4 did all three​ jobs, and 7 did none of these jobs

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Answer:

(a) Only cooked food?

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(b) Only operate the cash register?

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Step-by-step explanation:

From the above question, we have the following information:

15 cooked​ food

12 washed​ dishes

21 operated the cash​ register

7 cooked food and washed​ dishes

6 cooked food and operated the cash​ register

6washed dishes and operated the cash​ register

4 did all three​ jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed​ dishes - Number of people that cooked food and operated the cash​

= 15 + 4 - 7 - 6

= 19 - 13

= 6

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(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash​ register - Number of people that washed dishes and operated the cash​ register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

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