# 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.

Correct result:

a =  6
b =  5

#### Solution:

$x=240 \ \\ y=x+48=240+48=288 \ \\ 288=2^5 \cdot 3^2 \ \\ 240=2^4 \cdot 3 \cdot 5 \ \\ \text{GCD}(288, 240)=2^4 \cdot 3=48 \ \\ \ \\ d=GCD(y,x)=GCD(288,240)=48 \ \\ a=y/d=288/48=6$
$b=x/d=240/48=5$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Do you want to calculate greatest common divisor two or more numbers?
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to perform natural numbers division - find the quotient and remainder?

## Next similar math problems:

• Tennis balls
Can of tennis balls contains 3 balls per can and cost \$7 how much will it cost for 36 tennis balls?
• Coins
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money?
• Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
• Brass
Brass is an alloy of copper and zinc in a ratio of 3: 2. How many grams does a component that required 270 g of copper weigh?
• A bucket
A bucket has 4 liters of water in it when it is 2/5 full. How much can it hold?
• Milk2cheese
From 40 liters of milk is produced 8 kg of cheese how many liters of milk are needed to produce 2 kg of cheese?
• Trio ratio
Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
• 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?
• Blueberries
5 children collect 4 liters of blueberries in 1.5 hours. a) How many minutes do 3 children take 2 liters of blueberries? b) How many liters of blueberries will be taken by 8 children in 3 hours?
• 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?
• Cyclist
Cyclist drives 5 km in half an hour, how long will drive in 3 hours?
• 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?
• Collection of stamps
Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
• Pupils
There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percents are more girls than boys? Round the result to a whole percentage. b) How many are boys in the class? c) Find the ratio of boys and girls in the class. Writ
• Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
• Seawater
Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
• Land area 2
A land area was divided among the three heirs in the ratio 5:2:4. If the largest share was 20 hectares of land, what is the total area of land? Please show your solution and what kind of proportion is this please