Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flower pots. What fractionof a package of seeds is planted in each flowerpot?

Respuesta :

He has 3/4 package and plants 1/6 of seeds.

3/4 * 1/6 = 1/8

He divides the rest equally into 10 flowerpots. What is the rest? In order to know what "the rest" is, you must subtract 1/8 from 3/4. Find the common denominator of 4 and 8 which is 8. Multiple the numerator 3 * 2= 6 with a denominator of 8.

3/4 - 1/8 = 6/8 -1/8
= 5/8

5/8 is left to be divided equally into 10 flowerpots.

5/8 ÷ 10/1
= 5/8 * 1/10
= 5/80
= 1/16

We are required to find the fraction of a package of seeds is planted in each flowerpot.

The fraction of a package of seeds planted in each flowerpot is 7/120

Given:

Total package of seed = 3/4

Quantity of seeds planted in his garden = 1/6

Quantity of seed remaining = Total package of seed - Quantity of seeds planted in his garden

= 3/4 - 1/6

= (18 - 4) /24

= 14 / 24

Quantity of seed remaining = 7 / 12

  • Number of flowerpots = 10

fractionof a package of seeds is planted in each flowerpot = Quantity of seed remaining ÷ Number of flowerpots

= 7/12 ÷ 10/1

= 7/12 × 1/10

= (7 × 1) / (12 × 10)

= 7/120

Therefore, the fraction of a package of seeds planted in each flowerpot is 7/120

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