Ratio + system of equations - practice problems - page 7 of 9
Number of problems found: 170
- Three-digit 2842
Determine the three numbers that are in the ratio 1:2/3:3/4, and the sum of the first two equals the smallest three-digit number. - Beginning 2799
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mišo and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou - Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta? - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus: A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly.
- Mother and daughter
The ratio of mother and daughter years is 5:2. After seven years, the ratio is 2:1. How many years ago was the daughter born? - Men, women and children
On the trip went men, women, and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus had a revenue of 4,200 crowns? - Determine 2685
Andrej and Jaro have a total of 540 euros. Their amounts are in the ratio of 1: 8. Determine how much money each has. - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights. - Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5.
- Two numbers
Determine the numbers x and y, so x + y = 8 is true, and the numbers are in the ratio of 4:5. - Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in the ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the ratio of 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of a more e - Metal alloy
What is the metal ratio in the alloy in the 50 tonnes of steel to 30 kg nickel? - Revenue
Mr. Robert and Mr. Norbert get together € 1400. The revenue split in the ratio of 4:3, depending upon each work. How many got each of them? - School
The school attends 792 children, boys and girls ratio is 4:5. How many more girls go to school (than boys)?
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the lengths of the sides. - Geometric sequence 5
About members of the geometric sequence, we know: 3 a5:a3 = 27:25 7 a3 +5 a7 = 1 : 564 Calculate a1 (first member) and q (common ratio or q-coefficient) - Family and age ratios
The age of father and son is in the ratio 10:3; the age of father and daughter is in the ratio 5:2. How old are father and son if the daughter is 20? In what ratio is the age of sister and brother?
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