# System of equations + ratio - math problems

#### Number of problems found: 83

• Number ratio Calculate two positive numbers that its ratio is 6:6 and difference was 0.
• Numbers at ratio The two numbers are in a ratio 3:2. If we each increase by 5 would be at a ratio of 4:3. What is the sum of original numbers?
• Two numbers Find two numbers whose difference and ratio is 2.
• Golden ratio Divide line of length 14 cm into two sections that the ratio of shorter to greater is same as ratio of greater section to whole length of the line.
• Angles ratio The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
• Ratio three numbers Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
• New ratio The ratio of ducks and chicken in our yard is 2 : 3. The total number of ducks and chickens together is 30. Mother gave 3 of the chickens to our neighbor. What is the new ratio now?
• Table The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio 3:5
• Rectangle - sides ratio Calculate the area of a rectangle whose sides are in ratio 3:13 and perimeter is 673.
• 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?
• Summands We want to split the number 110 into three summands so that the first and the second summand are in the ratio 4: 5, and the third with the first are in ratio 7: 3. Calculate the smallest of the summands.
• School School attend 792 children, boys and girls ratio is 4:5. How many more girls go to school (than boys)?
• Two numbers Determine the numbers x and y so x + y = 8 is truth and the numbers are in the ratio of 4: 5.
• Ratio 6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
• Flowers 2 Cha cruz has a garden. The ratio roses to tulips is 2 : 5, the ratio of roses to orchids is 7 : 6. Cha cruz wonders what the ratio of tulips to orchids is. If Cha cruz has 183 plants, how many of each kind are there?
• Boys and girls 2 The ratio of boys to girls in math club is 4:3 . After 8 more girls joined the Club, the ratio become 1:1. How many members are there in the club now?
• Mother and daughter The ratio of years mother and daughter is 5:2. After 7 years the ratio is 2: 1. How many years ago daughter was born?
• Ratio of sides The triangle has a circumference of 21 cm and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.
• 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?
• Family and age ratios Age of father and son are in the ratio 10:3; age of father and daughter are in the ratio 5:2. How old is father and son, if daughter is 20 years old? In what ratio is age sister and brother?

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