Question
A container holds 260 liters of a solution of milk and
water mixed in the ratio of 7:6 respectively. ‘x’ liters of this solution is drawn out and replaced by 20 liters of water. If the resulting mixture has milk to water in the ratio 4:5, what is the value of ‘x’?Solution
ATQ,
260 liters of solution contains 140 liters of milk and 120 liters of water.
x liters of solution contains (7x/13) liters of milk and (6x/13) liters of water.
(140 – 7x/13) / (120 – 6x/13 + 20) = 4/5
(1820 – 7x) / (1820 – 6x + 260) = 4/5
(1820 – 7x) / (2080 – 6x) = 4/5
5(1820 – 7x) = 4(2080 – 6x)
9100 – 35x = 8320 – 24x
11x = 780
x = 70
So, the value of ‘x’ is 70 liters.
What value should come in place of (?) in the given expression.
450 ÷ 9 + 75% of 160 − 64 ÷ 4 = ?
2/5 of 3/4 of 7/9 of 14400 = ?
7/3 of 4/5 of 15/56 of ? = 83
[564 + 32 of 18 × 9 ÷ 12 + 162 ] ÷ 4 = ?
What should come in place of (?) question mark in the given expression.
(25% of 320) + (3/8 of 400) − 30 = ?
45% of 360 - 160 + ? = √324
187 ÷ 5 ÷ 0.4 = ? – 24 × 2.4
Find the simplified value of the following expression:
[{12 + (13 × 4 ÷ 2 ÷ 2) × 5 – 8} + 13 of 8]
18 × 15 + 86 – 58 =? + 38
√(24²+285-8²-172) = ?²
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