Fraction word problems - page 86 of 158
Number of problems found: 3156
- Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A.D. Thanks to an admirer who described his life through an algebraic riddle, we know at least something about it. Diophantus's youth lasted 1/6 of
- Jordan
Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with his classmates (and himself). Answer the questions to help Jordan decide
- Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first
- Individual
On the hill behind Terchová, there is a sheepfold and a shepherd lives in it. He divided two hundred of his sheep into 4 groups in a mysterious way: If he had 4 more sheep in the first group, 4 fewer in the second, 4 times more in the third, and 4 times l
- Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Grand Pardubice Steeplechase
Jirka decided to divide the winnings from the bet in Grand Pardubice Steeplechase (Velká Pardubická) between himself and his three younger brothers according to age in the ratio of 2:3:5:7. They paid each amount in whole crowns. One of the amounts was CZK
- They competed
On April 1, the seventh graders competed for the worst written dictation. The winner was Jožo Poleno, who left out a letter in a third of the words of the dictation, made boldface in a quarter, forgot the soft part in a sixth, and despite all his efforts
- Pizza
Five friends were together for pizza. Adam divided his pizza into thirds, Boris in quarters, Denis in patina, and Luke in sixth. Then Simon also came to them. Every five boys gave him one piece, leaving him one whole pizza. How many equal parts did Ivan s
- Fruits
Amy bought a basket of fruits 1/5 of them were apples,1/4 were oranges, and the rest were 33 bananas. How many fruits did she buy in all?
- Remaining
Petra went on a 4-day trip to Vienna with her aunt. On the first day of the trip, she spent a quarter of her pocket money, on the second day, two-fifths of the remaining money, on the third day, she spent a third of the entire amount of pocket money, and
- 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 buns
Kate, Zofia, and Peter liked the buns. Even today, their grandmother prepares their favorite meal. Katka eats four bunches, Žofia 3, and Petra eats five buns. Their grandmother said, "My inmate, will you know how many buns I have been made today if those
- Boats
Three-quarters of boats are white, 1/7 are blue, and nine are red. How many boats do we have?
- Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b.
- Four-fifths 2764
There were 60 people at the rink, four-fifths of which were children under 15 years of age. A ticket for children under 15 costs €1 and for adults €2. a) How many children were there at the rink? b) How many adults were there? c) How many euros did they c
- Run 9
Every time Colin runs, he runs 3/4 of a mile. Whenever Isabel runs, she runs 1/4 of a mile. If Colin runs two times a week, how many times must Isabel run to cover the same distance as Colin?
- Pupil age
I am a primary school pupil, and I spent 1/4 of my age on parents' exercise with children, 1/3 on drawing, and 1/6 on flute. I did not have a ring for the first three years of my life and never went to two rings at once. How old am I?
- Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece
- Equation 5900
Adam, Cyril, and Boris have a total of 102 CZK. How many crowns does Adam have, how many Boris and how many Cyril, if all three have the same when: a) Adam gives three crowns to Cyril b) Boris will give half of his money to Cyril c) Adam will give a third
- 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
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