4 litres of a mixture of milk and water in the ratio 7:1 is mixed with 6 litres of a mixture of
milk and water in the ratio 9: 7. What is the ratio of milk to water in the resultant mixture?
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Step-by-step explanation:
case-1
let 7x and 1x be the milk and water in 4 liters of mixture of milk and water.
7x+x=4000ml
8x=4000ml
x = 4000ml÷8
x=500ml
therefore, milk =7x=7×500ml
=3500ml
water=x=500ml
case-2
let 9x and 7x are the milk and water in a 6 litres of a mixture of milk and water
9x+7x=6000ml
16x= 6000ml
x=6000ml÷16
x=375ml
therefore, milk =9x=9×375=3375ml
water=7x=7×375=2625ml
total milk = 3500+3375
=6875ml
total water=500+2625
=3125ml
ratio of mil and water in resultant mixture =6875:3125
=53:25
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