Sandy and suzanne are planting flower pots around the school. Sandy has planted 33 pots and is planting at the rate of 10 pots per hour. suzanne has planted 25 pots and is planting at the rate of 14 pots per hour. In how many hours will they have the same number of pots?

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Mathematics

25 February, 03:14

Sandy and suzanne are planting flower pots around the school. Sandy has planted 33 pots and is planting at the rate of 10 pots per hour. suzanne has planted 25 pots and is planting at the rate of 14 pots per hour. In how many hours will they have the same number of pots?

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Answers (2)

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Koen Odonnell · Answer 1

If you would like to know in how many hours will they have the same number of pots, you can calculate this using the following steps:

t ... the number of hours

Sandy: 33 + 10 * t

Suzanne: 25 + 14 * t

33 + 10 * t = 25 + 14 * t

33 - 25 = 14 * t - 10 * t

8 = 4 * t / 4

t = 8 / 4

t = 2 hours

Sandy and Suzanne will have the same number of pots in 2 hours.

Christian Long · Answer 2

Given:

Let x be the number of hours

Sandy : 33 + 10x

Suzanne : 25 + 14x

33 + 10x = 25 + 14x

10x - 14x = 25 - 33

-4x = - 8

x = - 8/-4

x = 2

Sandy: 33 + 10 (2) = 33 + 20 = 53

Suzanne: 25 + 14 (2) = 25 + 28 = 53

It will take 2 hours for SAndy and Suzanne to have the same number of pots.