Fractions + system of equations - practice problems
Number of problems found: 163
- Xero had
Xero had a piece of ribbon. He used 0.4 of it to tie 2 small boxes and 2 large boxes. The length of ribbon needed for a large box is 3 times the length of ribbon needed for a small box. Xero used 5/6 of the remaining ribbon to decorate the presents. a) Wh - A man 14
A man gave 1/3 of his wealth to his wife, 2/3 of the remaining to his daughter, and divided the remaining between his two sons equally. If the daughter received Rs.3000000 more than one of the sons, find the value of the father's property. - There 33
There is a number that is three-fifths the total of the other number. When four is added to one of the numbers, their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they? - The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions? - The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y. - Violin and dance lesson
Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - 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 - Watching TV
One evening 2/3 of students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality TV? - TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour. - Grandmother's 4133
Anička went to her grandmother's for spring break. She paid CZK 38 for the trip, which was two-ninths of their savings. She bought a gift for her grandmother for 35.50 CZK and a book for her cousin Míla for 16.70 CZK. How many crowns did she have left to - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m - Tournament 5463
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive - The farmer
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes brought in. He sold five-sixths of the remaining potatoes in the second hour, and in the third hour, he sold the last 40 kg of potatoes. 1. Express a fraction - Cups
We have three cups. In the cups, we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then, we shed one-quarter cup of liquid from the first to the second and to the third. 3 Then, - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Summerjob
Albert, Beny, Cyril, and Dan worked on a summer job. From the total revenue, Albert received 2/5, Beny 1/6, 3/10 Cyril, and Dan the rest, which is 324 euros. How many euros were earned for every one of them? - Kilogram 7162
Mom paid CZK 132.50 for the purchase. She bought bread, 5 kg apples, and three liters of milk. We know that bread costs twice as much as milk, and a kilogram of apples costs 6.50 CZK less than milk. How many CZKs did milk and bread and a kilogram of apple - Warehouses
To four warehouses is going cement in 25 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 310 tons came to fourth. How much cement is in all warehouses, and how much got everyone? - Superstar 62054
Jana, Petra, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jan and Peter combined. How many text messages did all 3 girls send together? - One-quarter 3256
Michaella and Sarah have saved 220 CZK together. They went on a pilgrimage; Michaella took one-quarter of her savings, and Sarah took one-fifth of her savings. Both of them together had 50 CZK for the pilgrimage. How much did Michaella and Sarah save in t
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