Algebra - math word problems

Decimal to fraction
$fractions_2$ Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.
ZOO
In the zoo was elephants as many as ostrichs. Monkeys was 4 times more than elephants. Monkeys were as many as flamingos. Wolves were 5 times less as flamingos. How many of these animals were together? We know that there were four wolves.
Garden
Father dig up the garden in 9 hours. Son in 13 hours. How many hours take dig up the garden together?
Automaker
The automaker now produces daily 4 new cars more than last year so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles needed last year?
Barbara
Barborka goes to school with backpack that was 2 - times more expensive than a bag slipper. If backpack was 36 euros cheaper it was cost same as bag slipper. How many cost backpack and how many bas slipper?
Sugar - cuboid
Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet
Decomposition
Make decomposition using prime numbers of number 155. Result write as prime factors (all, even multiple)
Divisors
The sum of all divisors unknown odd number is 2112. Determine sum of all divisors of number which is twice of unknown numbers.
Variations 4/2
Determine the number of items when the count of variations of fourth class without repeating is 600 times larger than the count of variations of second class without repetition.
BW-BS balls
Adam has a full box of balls that are large or small, black or white. Ratio of large and small balls is 5:3. Within the large balls the ratio of the black to white is 1:2 and between small balls the ratio of the black to white is 1:8 What is the ratio of
Playing Cards
Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them?
Crystal water
The chemist wanted to check the content of water of crystallization of chromic potassium alum K₂SO₄ * Cr₂ (SO₄) 3 * 24 H₂O, which was a long time in the laboratory. From 96.8 g of K₂SO₄ * Cr₂ (SO₄) 3 * 24 H₂O prepared 979 cm³ solution of base.
Rectangle - sides 3
If in the rectangle ABCD we enlarge the side a by 5 cm and decrease the side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of the side a by 4 cm and and at the same time we increase the length of side b by 3 cm we inc
Exam average
Average of marks that have on the certificates students of 8.A class in mathematics is exactly 2.45. If we did not add 1 and 3 of sutdents Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class 8
RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
Tiles
From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
AS sequence
In an arithmetic sequence is given the difference d = -3 and a₇₁ = 455. a) Determine the value of a₆₂ b) Determine the sum of 71 members.
Alloy
The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to
Bouquet
Gardener tying bouquet of flowers for 8 and none was left. Then he found that he could tying bouquet of 6 flowers and also none was left. How many have gardener flowers (minimum and maximum) if they had between 50 and 100 flowers?
Segments
Line segments 62 cm and 2.2 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?

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