System of equations - math word problems - page 83 of 107
Number of problems found: 2130
- Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno. - Nuts
Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts. - Elimination method
Solve the system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - Friends
James and Jaroslav are friends. Together they had 48 toy cars. But if John had taken eight cars from Jaroslav, Jaroslav would have had 1.5 times more toy cars than James. How many toy cars had Jaroslav and James? - Football season
Dalibor and Adam together scored 97 goals in the season. Adam scored nine goals more than Dalibor. How many goals were scored each? - Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf? - Blueberries
Miko and Anton have a total of 1,580 blueberries. Miko and Anton have them in the ratio of 2:3. Determine how much each of them has. - Spain vs USA
Spain lost to the US by four goals. In the match, the total fell by ten goals. How many goals gave Spain, and how did the United States? - Blackberries
Daniel, Jolana, and Stano collected 34 blackberries together. Daniel collected eight blackberries more than Jolana, and Jolana 4 more than Stano. Determine the number of blackberries each collected. - Ball game
Richard, Denis, and Denise together scored 932 goals. Denis scored four goals over Denise, but Denis scored 24 goals less than Richard. Determine the number of goals for each player. - Football match 4
They lost three goals for the Germans in a football match with Italy. Fell five goals in the match. Determine the number of goals of Italy and Germany. - Bonbons
Create a mixture of 50 kg of candy for a price of 700Kč. Candies have prices: 820Kč, 660Kč, and 580Kč. Use cross rule. - The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B. - Jam
A jar with jam weighs 800 grams. Jam weighs three times as much as the empty glass. What is the weight of the jam that is in the glass? - Trapezoid
Trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - 3 masons
Three masons received 7,700 CZK. The second half received 1/2 more than the first, and the third twice more than the second mason. How much do they each have crowns? - Factory and divisions
The factory consists of three auxiliary divisions and a total of 2,406 employees. The second division has 76 employees less than the 1st division, and the 3rd division has 212 employees more than the 2nd. How many employees have each division? - Remuneration Total remuneration for workers is 47,000 CZK. The second worker received 20% more than the first and the third 4000 CZK less than the second employee. How many CZK does each receive?
- Boys and money
270 USD boys divided so that Peter got three times more than Paul, and Ivan had 120 USD more than Paul. How much was each received?
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