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Baskets are arranged into 15 short rows and 10 long rows. Each long row has

16 more baskets than each short row. 2/3 of the baskets are arranged into long

rows. 1/5 of the baskets are arranged into short rows, the remaining baskets

are stacked up and put aside.

(a)      What fraction of the baskets are stacked up and put aside?

(b)      How many baskets are arranged in long rows?

Jan 16, 2022

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Given that,
2/3 of the baskets are arranged into long rows.

1/5 of the baskets are arranged into short rows

So,

The remaining baskets are stacked up and put aside = Total - baskets are arranged into long rows - baskets are arranged in short rows

= 1 - 2/3 - 1/5

(15 - 10 - 3)/15

2/15

Therefore, we get

The fraction of the baskets is stacked up and put aside = 2/15

Let us assume that,

Total number of baskets = x

So,

By using given information, we can write

Each long row  = Each short row + 16

Now,

We have

Total baskets arranged in the long row = 2/3x

Total baskets arranged in the long row = 1/5x

So,

Each Long row = 2/3x/10 = 2/30x

Each short row = 1/5x/15 = 1/75x

Therefore,

2/30x = 1/75x + 16

⇒ (2/30 - 1/75)x = 16

⇒ ((150 - 30)/2250)x = 16

⇒ (120/2250)x = 16

⇒ x = (16 * 225)/12

⇒ x = 300

So, we get

Total baskets are arranged in long rows = 2/3x

= 2/3 * 300 = 200

a. The fraction of the baskets is stacked up and put aside = 2/15

b. Total baskets are arranged in long rows = 200

Jan 17, 2022