The ratio of the number of apples in Box A to the number of apples in Box B is 3:2. All the apples in Box B are green. The ratio of the number of green apples to the number of red apples in Box A is 4:5. There are 20 more green apples in Box B than in Box A. How many red apples are there?
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4 units of green apples+5 units of red=9 units in box a,
3 units in box a (x3)......9 units,hence 2 units in box b (x3) will give 6 units
green apples
box B-box A.....20
6 units - 4 units ...20
2 units......20
1 units.....20 divided by 2 = 10
red apples
5 units .....5X10 = 50
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Given:
Ratio of Apples in A and B, A:B = 3:2
All the apples in box B are GREEN.
Ratio of green and red apples in box A , G:R= 4:5
Box B contains 20 more green apples than green apples in box A.
To Find:
Total Red Apples.
Solution:
From the above conditions , apples in A an B be and .
Green and Red apples in box A are and
Framing the equations from the given conditions;
Total Apples in box A,
Difference of green apples,
Solving eq(1) and eq(2), we get
Red apples in box A=
=
=
Hence the red apples in box A are 50.
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