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geniusboy [140]
3 years ago
15

Select all ratios equivalent to 5:15. 2:60, 20:9, 7:21, 1:3

Mathematics
1 answer:
zlopas [31]3 years ago
6 0
Well ratios involve a relationship between two numbers,
5:15 when divided by 5 (because 5 is the biggest number that fits In both halves.
Equals

1:3
And this ratio is the same as any ratio where the left number fits into the right three times, and in absolutely no other order. for example,
2:6
3:9
4:12
5:15
6:18
7:21 and so on...
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It takes 12 hours for 7 men to paint a room.
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<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84)  ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

a \times \frac{1}{84} \times 3 = 1

corresponds to rate x hours = jobs and "a" is a variable for how many men

a \times \frac{1}{28} = 28

Thus 28 men are needed to paint the room in 3 hours

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