System of equations - math word problems - page 79 of 103
Number of problems found: 2050
- Represents 3753
Dana and Julka's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julka has.
- Two girl's numbers
Dagmar and Julka had numbers. Dagmar's number was equal to the square root of Julka's number. The sum of Dagmar's and Julka's numbers equals 84. Find what number Dagmar and Julka had.
- Dalibor 3744
Milan and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milan have to give to Dalibor so their payments were 1:4?
- Threesome
Dana, Dalibor, and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Find out how old Dana, Dalibor, and Michael are.
- 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?
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