1.The price of oil recently went from $14.40to $16.80per case of 12 quarts. Find
ID: 3037205 • Letter: 1
Question
1.The price of oil recently went from $14.40to $16.80per case of 12 quarts. Find the ratio of the increase in price to the original price.
2. Tom makes $180.80 in 44 days. How much does he make in 22 days?
3. A survey of students at a university shows that 44 out of 55 drink coffee. Of the students who drink coffee, 1 out of 88 adds cream to it. If the university has 28, 000 students, find the number of students who drink coffee with cream.
4. Caroline can sketch 22 cartoon strips in five hours. How long will it take her to sketch 44 strips?
5. Find the best buy (based on price per unit) for cereal. 15-ounce size: $3.99 26-ounce size: $4.29 31-ounce size: $4.79
Explanation / Answer
The increase in price is $ 16.80- $ 14.40 = $ 2.40 per barrel. Then the ratio of the increase in price to the original price is 2.40/14.40 = 1/6 or, 1:6. 22/44 = ½. Hence, if Tom makes $180.80 in 44 days, in 22 days, he will make (½)*$180.80 = $90.40. The ratio of students at the university who drink coffee, to the total number of students at the university, is 44/55 = 4/5. Further, of the students who drink coffee, 1 out of 88 adds cream to it so that (1/88)*(4/5) = 1/110 of the students at the university, add cream to coffee. Since there are 28, 000 students at the university, the number of students who drink coffee with cream is (1/110)*28000 = 254.55 = 255 ( on rounding off to to the nearest whole number). 44/22 = 2. Hence, if Caroline can sketch 22 cartoon strips in 5, hours for sketching 44 strips, it take her 2*5 = 10 hours. For a 15-ounce size, the price per ounce for cereal is $3.99/15 = 26.6 cents. Further, for a 26-ounce size, the price per ounce for cereal is $4.29/26 = 16.5 cents and for a 31-ounce size, the price per ounce for cereal is $ 4.79/31 = 15.5 cents ( on rounding off to the nearest half cent).Thus, the best buy for cereal, based on price per unit, is a 31-ounce pack.
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