Ratio - math word problems - page 74 of 81
Number of problems found: 1617
- Ratio
Unfold number 3690 in the ratio 15:11:4.
- Metallurgical enterprise
Metallurgical company daily produces 501 tons of cast iron. How many tons of coke does it burn to melt cast iron when 14 tons of cast consumes 10 tons of coke?
- Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC.
- Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer.
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Car range
Calculate the maximum range of cars, if you can spend 5 euros, the diesel price is 1.6 Eur/l, and car consumption is 5.4 l/100 km.
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle.
- Louvers
The company charges for office equipment louvers total 262 Eur. From the delivery, the bill is obvious that the louvers are 76 Eur more expensive than their installation. What percentage of the total charged is the installation of louvers?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost?
- Balls
Ping-pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls.
- Road repair
Road repair took 13 days for 39 workers if they worked 5 hours a day. How many days take to repair the same road 24 workers if they work 7 per day?
- Tanks
The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl. How many barrels would have been used if the water level in the tank
- Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m?
- Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2?
- Saving
Gejza save € 1470 to buy a car. Yet it lacks save 45% of the car price. How much is the car?
- Cyclist
A cyclist passes 95 km in 5 hours. How many kilometers did he pass in 8 hours?
- Fertilizer
Mr. Gherkin uses for fertilization 7% solution of fertilizer. 9 liters of it still left. How much water must be added to the solution to make only the 4% solution?
- Similarity
Rectangle ABCD has dimensions of 7 cm and 8 cm. Rectangle PQRS has dimensions 7 cm and 6 cm. Determine the coefficient of the similarity k of the rectangles; if they aren't similar, enter zero as the coefficient of similarity.
- Suit
The suit cost 124 euros. How much cost the pants if it is 30% cheaper than the jacket?
- Medicament
Many manufacturers produce the same type of medicament in various packages with different active substance content. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 31.5 Eur. Pack 2: includes 100 tablets of 1200 mg of active substance
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