Direct proportionality - math word problems - page 20 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Sweethearts 5403
Four sweethearts eat ten cakes in 30 minutes. How many minutes will 27 cakes last for nine sweets?
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid.
- Identical 5362
120 hl of water flows out of the tank through 4 pipes in 16 hours. How much water flows through 5 identical pipes in 14 hours?
- Image reduction
To say that I am mathematically challenged is a gross understatement! I'm trying to help my friend determine how to calculate percentages of reduction or enlargement for a quilt pattern. She is creating a drawing of a cute picture that will become a piece
- Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB.
- Sugar 9
150 kg of sugar beet yields 24 kg of sugar. How many tons of sugar beet can be obtained from three tons of sugar?
- Dimensions 5307
The perimeter of the triangle is 48 m. Calculate its dimensions if they are in the ratio 5:3:4
- Kilo candy
One kilogram of chocolate candy costs 10 euros. Kate bought 250 grams and had the eight-pack of candy. How much does one bonbon cost?
- Chicks
How many chicks were hatched from 4500 eggs, while an average of 100 eggs hatched 87?
- Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with two volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture?
- Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have?
- Fulfillment 5210
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion
- Parcel 4
Send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds?
- Powerful 5189
Three equally powerful pumps drain water from a flooded pit in 7 hours. In how many hours would drain water from a pit of 5 equally powerful pumps
- Gas consumption
If the vessel consumes 100 tons of gas in 250 miles, how much fuel will it consume if it travels 400 miles?
- One deci
Wine 0,375 l costs 2040 CZK. How much does one dl cost?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high.
- Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m?
- Acres
For two hours, 24 students harvested chestnuts on 36 acres. How many square meters are harvested by one student per hour?
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