# Ratio - math word problems - page 61 of 64

Ratio problems are word problems that use ratios to relate the different items in the question. On solving problems and tasks proportionally, we recommend a hint rule of three. Rule of three (proportionality) helps solve examples of direct and inverse proportionality. Three members make it possible to calculate the fourth - unknown member.#### Number of problems found: 1275

- Rectangle 7768

The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Length-to-width 3175

We want to enclose a rectangular garden whose length-to-width ratio is 2: 1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does - A boy 2

A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - Two bodies

The rectangle with dimensions 8 cm and 4 cm is rotated 360º first around the longer side to form the first body. Then, we similarly rotate the rectangle around the shorter side b to form a second body. Find the ratio of surfaces of the first and second bo - Wood harvesting

The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him eight days. How often would he have to go daily to finish the job two days earlier? - Baking bread

When grinding 100 kg of grain, we obtain 75 kg of flour for food purposes, about 23 kg of bran, which has further use, and about 2 kg is waste. 4.5 kg of bread is baked from 4 kg of flour. a) Baker can bake how many kilograms of bread from 100 kg grain? b - Transported 67924

On Thursday, 240 skiers had to be transported, with two buses taking 30 minutes. How long did the transport take on Saturday if there were 660 skiers on the piste and three buses were used? - Dimensions 6130

The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Troops

The route is long 147 km. On the first-day first regiment went at an average speed of 12 km/h and back at 21 km/h. On the second day went second regiment on the same route at an average speed of 22 km/h there and back. Which regiment will take the route l - Mushrooms

The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr - Orchard

The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Motion

If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station? - Pumps

Six pump fills the tank for three and a half days. How long will fill the tank with seven equally powerful pumps? - 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 - Gears

The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear-wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm? - According 2831

The owner of the house received two different plans for the new building. One with a scale of 1:100, followed by the builders, and the other with a scale of 1:25, according to which he will finish the interior. In the first plan, his living room was 7 cm - Tea blend

Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in the ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the ratio of 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of a more e - Similar frustums

The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Coils of transformer

The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1. - Cutting cone

A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.

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