# Fractions + ratio - math problems

On solving problems and tasks with proportionally, we recommend hint rule of three. Rule of three (proportionality) help solve examples of direct and inverse proportionality. Three members make possible to calculate the fourth - unknown member.

#### Number of problems found: 153

• Interior angles
Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.
• Divide money
Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
• Age of family
The age of father and son is in the ratio 10: 3. The age of the father and daughter is in ratio 5: 2. How old are a father and a son if the daughter is 20?
• Ratio of two unknown numbers
Two numbers are given. Their sum is 30. We calculate one-sixth of a larger number and add to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers were given?
• Building
At the building, we divided 240 boards into two piles in a 5: 3 ratio. How many were fewer boards in the lower pile?
• Honza
Honza is 13 years old and Peter 21 years old. After how many years are their ages will be at ratio 7: 9?
• Red diplomas
He numbers of students with honors in 2013 and 2014 are in ratio 40:49. How big is the year-on-year percentage increase?
• Cake ingredients
The yeast cake contains milk, yeast, sugar, and flour in a ratio of 20: 4: 1: 15. What percentage of flour is in yeast?
• Boys to girls
The ratio of boys to girls in a party is 3:5 . If 6 more boys arrived and 4 girls left the party, the ratio of boys to girls would be 5:6 . How many are in the party originally?
• Alloy
The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to
After the history test, Michaella discovered that the ratio of her correct and incorrect answers is 5: 3. How many correct answers did Michaella have in the test, if she had 6 incorrect answers?
• Father and daughter
Father is 36 years old, daughter is 20 years less. What will be the ratio between them when they are 10 years more?
• Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. At what rate are the volumes of cube, cuboid, and sphere?
• 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?
• The farmer
The farmer had 140 sheep. For the next year, she decided to change the number of sheep in ratio 10: 7. How many sheep will he have then?
• Photo egative
Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
• Points
Gryffindor won 437 points. How many points obtained by each of the faculties if they were split at a ratio of 5: 7: 3: 4?
• Candies
There are red, blue and green candies in bad. Red to green is in 6:11 ratio and blue to red in a 7: 5 ratio. In what proportion are blue to green candies?
• Divide
Divide area of rectangles with dimensions 32m and 10m by the ratio 7: 9. What area corresponds to a smaller section?
• Three 43
Three brothers inherited a cash amount of 62,000, and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?

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