Fractions + direct relationship - math problems
Number of problems found: 65
- In the
In the national park, the ratio of the wooded area to grassland is 4: 1. The total area is 385km2. What area is wooded?
Jan is 13 years and Peter 21 years old. For how many years will their ages in the ratio of 7:9?
- Scale of the map
Determine the scale of the map, which is the actual distance of 120 km l represented by segment long 6 cm.
- Pumps 5
5 pump pumped in 3 hours 1800 hl of water. How many hectoliters of water pumped 4 equally powerful pumps in 6 hours?
- In the bakery
In 2.25 hours, 24 pieces of bread are baked in the bakery. How many breads are baked in the bakery in 6 hours and 45 minutes?
- Scale of the map
The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
Lara Pamela spends her salary of 3000 for food, clothing, recreation and savings, which are in the ratio of 48:20:15:37, respectively. How much does he spend for savings?
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition sick or wasn't came. How many hours is sufficient air to other divers?
- Proportion 3
For every 8 mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there?
The amount that Susan charges per hour for babysitting are directly proportional to the number of children she is watching. She charges $4.50 for 3 kids. How much would she charge to babysit 5 kids?
- Proportion 2
A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours? Put what kind of proportion is this and show your solution.
- Points on line segment
Points P & Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance: between point A and the midpoint of the segment QB.
The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden?
From 40 liters of milk is produced 8 kg of cheese how many liters of milk are needed to produce 2 kg of cheese?
- Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
- Ornamental shrubs
Children committed to plant 240 ornamental shrubs. Their commitment however exceeded by 48 shrubs. Write ratio of actually planted shrubs and commitment by lowest possible integers a/b.
- Map 2
At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
- Unknown number 5
Daniel think an integer. When he change this number at a ratio of 2:5 he got number 2.8. Determine what number think Daniel.
In the human body, the blood is about 7.3% body weight. How many kilograms of blood are in the human body with weight 109 kg?
- Metallurgical enterprise
Metallurgical company daily produces 318 tons of cast iron. How many tons of coke it burns to melt cast iron when 10 tons of cast consumes 6 tons of coke?
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