Algebra - math word problems - page 21 of 304

Number of problems found: 6073

Orange juice
Water and orange are mixed in a ratio of 7:4. An amount of 36 cm³ of orange is used. What volume of water is used?
Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
Two men
Two men earn in the ratio 5 : 3 and expend in the ratio 9: 5. If each saves 30000 USD every year, find their income.
Shares
1300 USD are divided among A, B, C and D in such a way that: share of (A/B)=(B/C)=(C/D) = (2/3)
Selling the article
If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets 6 euros more. Find the cost price of the article.
Same expenses
If the price of tea increases by 20%, what percent must the consumption be reduced to keep the expense the same?
Interest over time
If certain sum at compound interest becomes double in 5 years, then, in how many years, it will be 16 times at the same rate of interest?
Peter 13
Peter and Paul finished the first round of orders in 3 hours and 15 minutes. Peter, however, works a lot faster than Paul does; Peter is 2 and a half times as fast as Paul. For the second day of shipping orders, peter is unavailable; paul will have to do
A discount 2
A discount of 52.50 dollars is obtained if a discount of 15% is allowed. Find the marked price and the selling price.
Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed
The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions?
Series - double GP
In the following series, which number will replace the question mark? 4, 32, 16, 128, 64,?
The ratio 22
The ratio of two numbers is 5 : 4 and their LCM is 810. Find the sum of numbers .
Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3.
HCF of polynoms
Find the HCF of the given expression: 2a²b²c⁴, 2a⁴b³c³ and 4a²b³
Train station
A man walks from his house to station. If he walks at 5 km/h he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the departure of the train. Find the distance covered by him to reach the station.
In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
The proportion
The proportion's first, second, and third terms are 4, 20, and 13. Find the fourth term.
Three 241
Three-fifths of the t-shirts in a t-shirt shop are blue. Five-eights of those T-shirts are on sale. One-third of the blue of the blue shirts that are on sale are size medium. What fraction of the shop's blue T-shirts are on sale and size medium?

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