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?
+237 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
