Quantitative: Ratios and Proportions Flashcards
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If 5 machines produce 600 units in 3 hours, how many units do 8 machines produce in 3 hours?
Answer: 960
Each machine makes 120 units in 3 hours, so 8 x 120 = 960.
The ratio 0.4:0.6 simplified to lowest whole-number terms is:
Answer: 2:3
Multiply both by 10 to get 4:6, which reduces to 2:3.
If a/b = b/c and a = 4, c = 9, what is b (positive value)?
Answer: 6
b^2 = ac = 36, so b = 6 (the geometric mean).
A team's win-to-loss ratio is 7:2. If they played 36 games with no ties, how many did they win?
Answer: 28
Total parts = 9, each = 4, wins = 7 x 4 = 28.
If the ratio of length to width of a rectangle is 5:3 and the perimeter is 64, what is the length?
Answer: 20
L+W = 32, parts = 8, each = 4, length = 5 x 4 = 20.
A solution is 30% salt. To keep the same ratio, how much salt is in 250 mL?
Answer: 75 mL
30% of 250 = 0.30 x 250 = 75 mL.
If x:y = 9:4, what is the ratio of x^2 to y^2?
Answer: 81:16
Squaring both terms gives 81:16.