A and B collect fruits from some trees such that A picks 4 from each tree while B picks 3 from each tree and the number of trees that B used is 4 more than that of A. If A and B have equal number of fruits then what will be the total number of fruits in their collection?
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Given:
Number of fruits that A collects from each tree = 4
Number of fruits that B collects from each tree = 3
B used 4 more trees than A used.
To find:
Total number of collection of fruits.
Solution:
Let the number of trees that A used = x
Number of fruits collected by A = 4x
And number of trees B used = y
Number of fruits collected by B = 3y
Equation of total number of fruits will be = 4x + 3y
As given in the question: y - x = 4 and 4x = 3y
Therefore, x = 3y/4
Putting in the equation y-x = 4 we get:
y - 3y/4 = 4
y/4 = 4
y = 16
x = 3y/4 = 3*16/ 4
= 12
Therefore total number of fruits = 4x + 3y
= 4*12 + 3*16
= 48 + 48 = 96
Therefore total number of fruits is 96.
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