michael bought 1500 seeds for his three gardens. the ratio of the number of seeds planted in garden a to the number of seeds planted in garden b to the number of seeds planted in garden c is 3:5:7. each of the seeds in garden a cost 10 cents, while each of the seeds in garden C cost half of that. in total he spent $110 on the seeds. how much did he spend on the seeds for garden b?

Question

Mathematics

Adriana

3 April, 16:37

michael bought 1500 seeds for his three gardens. the ratio of the number of seeds planted in garden a to the number of seeds planted in garden b to the number of seeds planted in garden c is 3:5:7. each of the seeds in garden a cost 10 cents, while each of the seeds in garden C cost half of that. in total he spent $110 on the seeds. how much did he spend on the seeds for garden b?

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Steve Cruz · Answer 1

First of all you need to find the total ratio in order to find the number of seeds in each garden.

Total ratio = 3 + 5+7

= 15

The number of seed in garden a = ratio of garden a / total ratio x 1500

= 3/15 x 1500

= 300 seeds

since each of the seeds in garden a cost 10 cents, then the cost of 300 seeds = 300 x 10 = 3000 cents

= $ 30 (100 cents = $1)

The number of seeds in garden c = 7/15 x 1500

= 700 seeds

each seed in garden b cost 5 cent, cost of 500 = 700 x 5 = 3500 cents

= $35

The number of seeds in garden b = 5 / 15 x 1500 = 500 seeds

It was said that $ 110 was pent in all, so the amount spent on c = $110 - ($30 + $35)

= $110 - $65

= $45