Question
The ratio of juice to soda in an 84-liter mixture (juice
+ soda) is 9:5. A certain quantity of this mixture is taken out and replaced with the same quantity of soda. If the final mixture has a ratio of 3:4 for juice and soda, respectively, determine the quantity of the mixture that has been taken out.Solution
ATQ, Initial quantity of Juice in the mixture = 84 × (9/14) = 54 liters Initial quantity of Soda in the mixture = 84 × (5/14) = 30 liters Let the quantity of mixture that has been taken out be ‘14m’ liters So, quantity of Juice that has been taken out = 14m × (9/14) = ‘9m’ liters Quantity of Soda that has been taken out = 14m × (5/14) = ‘5m’ liters According to question: {(54 – 9m)/(30 – 5m + 14m)} = (3/4) Or, 4 × (54 – 9m) = 3 × (30 + 9m) Or, 72 – 12m = 30 + 9m Or, 21m = 42 Or, m = 2 Quantity of mixture that has been taken out = 14 × 2 = 28 liters.
Which food item is commonly referred to as "poor man's food" due to its relatively low cost and high nutritional value?
Which disease in barley is caused by the fungus Ustilago hordei?
The process of delivering a fully developed fetus from female horse uterus after completion of natural gestation period is termed as _____
Isolation distance for producing foundation seed of bajra hybrid
Which one is not true for canola type varieties of Brassica?
What is the term for a sudden and heritable change in the DNA sequence of an organism?
Which of the following potential is always negative?
What is the variation of elytra where the forewings of Hemipterans are partially membranous and partially hardened?
Rice crop is transplanted at spacing of 20 cm ×10cm by using 2 seedlings per hill. Calculate the plant population in 2000m2 area.
In bryophytes, when gametophytes produce sporophyte without fusion of gametes it is called as
