System of equations - math word problems - page 85 of 110
Number of problems found: 2182
- The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. - Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how much Denis got. - 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 of 3:5 - Vegan shop
The shops brought 23.2 kg of goods, fruits, vegetables, and nuts. The fruit was 4.7 kg more than vegetables, and the nuts were 1.5 kilograms less than the fruit. Determine the number of fruits, vegetables, and nuts. - Dividing money
Imrich, Daniel, and Dezider shared an unknown amount in the ratio of 1:2:4, where Dezider received 750 euros more than Imrich, and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amount that got Imrich, Daniel, a - Brother ages
Milan and Methodius are now 70 years old. Seven years ago, Milan was 1.8 times older than Methodius. Determine how old Milan is now and how many Metoděj is. - Belgium vs Italy
Belgium played a match with Italy and Belgium won by two goals. The match fell a total of 6 goals. Determine the number of goals scored by Belgium and Italy. - Root relationship
Dana and Julia'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 Julia 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. - Money ratio
Milo and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milo 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 in total. There are three more walnuts than hazelnuts, and two more hazelnuts than almonds. Determine the number of walnuts, hazelnuts, and almonds. - 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 Jerry are friends. Together they have 48 toy cars. If James takes eight cars from Jerry, Jerry would have 1.5 times as many toy cars as James. How many toy cars does each one have? - 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 if there are 41 chocolates on the 8th shelf and each shelf has five more chocolates than the previous one? - Blueberries
Mike and Anthony have a total of 1,580 blueberries. Mike and Anthony 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 Stanley collected 34 blackberries together. Daniel collected eight blackberries more than Jolana, and Jolana 4 more than Stanley. Determine the number of blackberries each collected.
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