) While painting a wall Rhythm has to make green paint by mixing blue, yellow and white paints
in the ratio 2 : 5 : 1. Help Rhythm to find out the quantity of blue, yellow and white paint if he requires 64 litres of green paint.
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GIVEN -
Total green paint required = 64ltr
Ratio of blue, yellow and white paint = 2:5:1
To find -
Quantity of blue, yellow and white paint to make green paint.
Solution -
Let the common ratio be "x"
Then,
2 = 2x
5 = 5x
1 = 1x
On substituting the values:-
→ 2x + 5x + 1x = 64
→ 8x = 64
→ x =
→ x = 8
Finding the quantities:-
- Blue paint = 2x = 2 × 8 = 16ltr
- Yellow paint = 5x = 5 × 8 = 40ltr
- White paint = 1x = 1 × 8 = 8ltr
Verification:-
By placing 8 in place of x then -
2(8) + 5(8) + 1(8) = 64
16 + 40 + 8 = 64
64 = 64
LHS = RHS
Hence, proved !
∴ Rhythm require 16ltrs of blue paint, 40ltrs of yellow paint and 8ltrs of white paint.
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