# Algebra - problems - page 51

- Cork and swimming

If a person weighs 80 kg, how many kilograms of cork must take swimming belt to use it to float on water? The density of the human body is 1050kg/m3 and cork 300kg/m3. (Instructions: Let the human body and cork on a mixture that has a density of 1000kg/m - Trams

Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again? - Johnny

Johnny bought for 28 CZK flower to mum. He that spent 4/7 of the money saved. How much money he had saved? How much money left him? - Bundle of candies

In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package? - Value

Determine the value of the following exspressions: a) (23-25)·(4-5) b) (97-123):(18+8) - Cube 8

The surface of the cube is 0.54 m^{2.}Calculate the length of the cube edge. - Cuboid - edges

The sum of all edges cuboid are 8 meters. However, the width is twice shorter than the length and height is seven times longer than the width. Determine the dimensions of the cuboid. - Rectangle

The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm? - Jan and Dan

Jan and Dan had the same money. Jan bought 5 workbooks and left him 15 CZK. Dan 6 and left him nothing. How much money have in total? - 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? - Bank

Paul put 10000 in the bank for 6 years. Calculate how much you will have in the bank if he not pick earned interest or change deposit conditions. The annual interest rate is 3.5%, and the tax on interest is 10%. - Vacation

Smiths paid a deposit for a vacation of two-sevenths of the total price of the vacation. Then paid also € 550. How much cost their vacation? - Two numbers

Determine the numbers x and y so x + y = 8 is truth and the numbers are in the ratio of 4: 5. - Shop stores

Workers untied fruit to stores. In the first quarter shipments, in the second fifth shipment, in the third two-fifths of the rest and in the fourth 231 kilograms. How many fruits were together? - Triangle KLM

In the rectangular triangle KLM, where is hypotenuse m (sketch it!) find the length of the leg k and the height of triangle h if hypotenuse's segments are known mk = 5cm and ml = 15cm - Sparrow ball

On the sparrows ball were males and females. There were 170 sparrows. Males was 20 more than females. How many sparrow female was at a ball? - Unions now

The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male, 23% female. Plant management reported that in the trade union is 20% of all employees. How many men and women are in plant and how many are men and women in trade unions? - Average mark

Calculate average mark in English, if a student got a couple of 3's, 20% less 2 than 3, and 50% more 1's than the 2's. - Bicycle wheels

Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth? - Grandmother and grandfather

Grandmother baked cakes. Grandfather ate half, then quarter of the rest ate Peter and Paul ate half of rest. For parents left 6 cakes. How many cakes maked the grandmother?

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