The ratio of the number of pears to the number of oranges in a basket is 5:3. The rest of the fruits are apples. There are 54 more pears than oranges and 3 more apples than oranges.
(A) How many pears are there in the basket?
(B) What percentage of the fruits are apples?
And for letter B is not 22.5
Let's represent the number of pears as 5x and the number of oranges as 3x.
We are given that 5x = 3x + 54 (since there are 54 more pears than oranges).
Simplifying this equation, we get 2x = 54.
Dividing both sides by 2, we find x = 27.
So the number of pears is 5x = 5 * 27 = 135.
The number of apples is given as 3 more than the number of oranges, or 3x + 3 = 3 * 27 + 3 = 82.
The total number of fruits in the basket is the sum of the pears, oranges, and apples: 135 + 27 + 82 = 244.
To find the percentage of fruits that are apples, we divide the number of apples by the total number of fruits and multiply by 100:
(82/244) * 100 = 33.61%
So the answers are:
(A) There are 135 pears in the basket.
(B) 33.61% of the fruits are apples.