Conversions / Rates
The decimal 0.015 is equal to what percent?
0.015 x 100 = 1.5%
A recipe for pancakes uses 3 cups of flour and 2 cups of milk. What is the ratio of flour to milk?
3/2
Solve the proportion:
17 /2 = X/7
2X = 17 x 7
2X = 119
X = 119 /2 = 59.5
28.5% of 600 is what?
.285 X 600 = 171
I = PRT
What is the interest on $400 at 6% for 2 years?
I = 400 x .06 x 2 = $48
Four-fifths is equal to what percent?
4/5 = .80 x 100 = 80%
A Company employs 22 men and 18 women. What is ratio of men to women?
22/18 = 11/9
In the proportion
35/140 = 5/X
solve for X
35X = 140 x 5
35X = 700
X = 700 /35 =20
What is 12½% of 40?
.125 X 40 = 5
Ian borrowed $18,000 to buy a car. He borrowed the money at 7% for 5 years. How much will he have to pay the bank at the end of 5 years?
I = PRT
I = 18000 x .07 x 5 = 6300
$18,000 + $6,300 = $24,300 he will have to pay the bank at the end of 5 years.
26% is equal to what decimal?
26 % = .26
A 180 pound woman would receive 12 grams of a certain medicine. What is the ratio, in simplest form, of the woman weight to the number of grams of medicine?
180/12 = 15/1 ratio of the woman weight to the number of grams of medicine.
It has been estimated that a student's final grade in a course decreases by 7 points for every 3 days absent from class. If a student misses 5 days, by how many points will the student's final grade decrease?
7/3 = X/5
3X = 7 x 5
3X = 15
X = 15/3 = 5 points
48% of what is 175.2?
175.2 /.48 = 365
A house increases in value at a rate of 5% per year. A house valued at $125,000 will be worth what in 1 year?
1.05 x $125,000 = $131,250 the house will be worth in 1 year
The daily dose of a medicine is 80 mg. If a patient receives his daily dose in 3 doses, how much is each dose?
80 mg / 3 doses = 26.67 mg
A car traveling at 50 mph leaves a 20-foot skid mark. What is the ratio of the speed (mph) to the length of skid mark (feet)? Give your answer as a fraction in lowest terms.
50/20 = 5/2 ratio of the speed to the length of skid mark?
Three pounds of apples cost $1.65. What would
1½ pounds cost?
3lb/$1.65 = 1.5lb/X
3X = $1.65 x 1.5
3X = $2.48
X = $2.48/3 = $.83 for 1½ pounds of apples.
A commission of $2,925 is paid on a sale of $65,000. What is the rate of the commission?
X%/100 = $2,925/$65,000
$65,000X = $2,925 x 100
$65,000X = $292,500
X = $292,500/$65,000 = 4.5% commission
A police officer makes $24,600 per year. He gets a 3% raise. What is the officer’s new yearly salary?
1.03 x $24,600 = $25,338 is the officer’s new yearly salary.
D = RT
John bikes 24 miles in 1.5 hours. What is his rate per hour?
R= D /T
16 mph = 24mi / 1.5 hrs
The local bank employs 36 individuals of which 15 are smokers. What is the ratio, in simplest form, of the non-smokers to the total number of employees at the local bank?
36 - 15 = 21
21/36 = 7/12 ratio of non-smokers to the total number of employees at the local bank?
If 12 inches corresponds to 30.48 centimeters, how many centimeters are there in 30 inches?
12/30.48 = 30/X
12X = 30.48 x 30
12X = 914.4
X = 914.4 / 12 = 76.2 cm
A discount of 18% saved Jackie $48 on office supplies. What was the price of the supplies before the discount?
18/100 = $48/X
18X = $48 x 100
18X = $4800
8X = $4800 /18 = $266.67 price of the supplies before the discount.
An $80 item is on sale for 30% off.
The sales tax is 5%.
What will the discounted item cost?
.70 x $80 = $56
1.05 x $56 = $58.80 cost of the discounted item.