Percent Problems
Mixture Problems
Ratio and Rates Problems
Proportions
Miscellaneous
100
What is 2.5% of 13.7?
0.3425
100
How much salt would you get if you evaporated all the water from 375 g of a 12% solution?
45 g
100
A biker's speed is 1.5 times faster than a walker's speed. They start moving simultaneously in the same direction from the same point, and after 1.5 hours, the distance between them is 12. miles. What are their speeds?
Walker's speed is 16.6 mph and Bikers speed is 25 mph
100
If you eat 2/3 of a very large pizza and are left with 12 slices, how many slices would there be in 1/2 of the pizza?
18 slices
100
It takes 15 electricians 24 days to wire a new housing subdivisions. How many days would 18 electricians take to do the same job, assuming all electricians work at the same pace?
20 electricians
200
50% of 25% of the number is 96, what is the number?
768
200
There are two quantities of salt solution: 80g and 120g. In the first solution there are 12g of salt. In the second solution there are 15g of salt. What is the concentration in percent of salt in each solution?
15% 12.5%
200
A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?
8:00 am
200
Ms. Leong owned an ice cream store and has chocolate ice cream and vanilla ice cream for sale. She sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. If, at the end of the day, she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, what is the total number of scoops of ice cream Ms. Leong had at the start of the day?
140 scoops
200
A 15-person road crew is schedules to finish repairing a highway in 12 days. On the morning of the fifth day, several new workers join the crew and together they complete the remaining repairs in 6 days. How many new workers joined the crew?
5 workers
300
Stock worth $60 a share dropped in value by 20% on Monday. Then, it dropped again by $10 the next Tuesday and, finally, increased by 55% the following Friday. What was the final price of a share?
$58.90
300
To reduce 32 grams of a 25% antiseptic solution to a 10% solution, how much distilled water should a pharmacist add?
48 g
300
A boat heads south at 1200 mph while a steamer heads east at 500 mph. If they started from the same dock and at the same time, when will the distance between them be 1300 mi?
1 hour
300
A crow can fly at a speed of 50 mph and a starling can fly at 74 mph. How far will the starling fly in the time it takes the crow to fly 75 miles?
111 miles
300
The length of a river is 480 km. What is its length on a map with a scale 1 : 5,000,000?
9.6 cm
400
What was the original price if: after an increase of 30%, it became $520 after a 70% discount, it became $3b
400
400
A farmer has 100 gallons of 70% pure disinfectant. He wishes to mix it with disinfectant which is 90% pure in oder to obtain 75% pure disinfectant. How much of the 90% pure disinfectant must he use?
33.333 gallons
400
Bob can type two letters in four hours while Bill can accomplish the same task in 6 hours. How many hours would it take them, working together, to type six letters?
7.2 hours
400
Mrs. Rifkin had 84 oranges. 24 of her oranges were rotten and the rest were either ripe or unripe. There was 18 more ripe oranges than unripe oranges. Find the ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.
13:8:7
400
The length of the wing of an insect in a picture is 4 cm. The scale of the picture is 20 : 1. What is the real length of the insect's wing?
What is 0.2 cm
500
Mrs. Wise bought 3 lb of apples at $4 per lb. The following day there was 20% discount so she bought another 5 lb. What was the average price for all apples she bought?
$3.5 per lb
500
How much pure alcohol must a nurse add to a 10 cm^3 of a 60% alcohol solution to strengthen it to a 90% solution?
30 cm^3
500
If Eric covered the first 200 miles of a trip going at 50 mph and the last hundred miles going at 40 mph, what was his average speed for the entire trip?
46 and 2/13 mph
500
Liz had 140 pens and Inna had 100 pens. After Inna gave Liz some pens, Liz had 3 times as many pens as Inna. How many pens did Inna give Liz?
40 pens
500
A student at 3/20 of all the candy and another 1.2 lb. Another students ate 3/5 of the candy and the remaining 0.3 lb. What was the total weight of the candy they ate?
What is 6 lb
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