Answer:
There 24 pieces of Apples in the bag of dry fruit.
Step-by-step explanation:
Let the total number of dried fruit bought be 'x'.
Given:
1/4 of the dried fruit is cherries.
Hence Number of cherries =
Also Given:
2/3 of the remainder is pears.
Hence we can say Number of pears is equal to 2/3 times Total number of dried fruit minus Number of cherries.
Framing the equation we get;
Number of Pears =
But Given:
Number of Pears = 48
Substituting the values we get;
By taking L.C.M we get;
Hence Total Number of Dry fruit = 96 pieces.
Number of cherries =
Now We need to find the Number of Pieces of Apples.
We know that Total Number of Pieces of dried fruit is equal to sum of Number of cherries and Number of Pears and Number of Apples.
Framing Equation we get
Number of Pieces of Apples= Total Number of Pieces of dried fruit - Number of cherries - Number of Pears = 96-48-24 =24 pieces
Hence There 24 pieces of Apples in the bag of dry fruit.
To solve for x you have to get x by itself. multiply both sides by 6. this will leave you with 12 = x
13x-117=15
13x=15+117
13x=132
x=132/13
x=10.1538