Integers + system of equations - practice problems
Number of problems found: 35
- The sum 30
The sum of 8 times a number and 5 times another number is 184. The first number minus the second number is -3. What are the numbers? - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - Competition 4729
The teacher submitted ten tasks during the competition. Students will receive 5 points for each correctly solved problem; 3 points will be deducted for an incorrect solution. How many math problems did the student solve correctly if he finally got 34 poin - The cost
The cost of the amusement ticket is 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2 000, and the total gets revenue is 750000 pesos. How many children and how many adults bought the tickets? - There 5
There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended? - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - CZK coins
Thaddeus and Jolana together have 15 CZK. Jolana has half of Thaddeus' money. Nevertheless, Jolana has three coins and Thaddeus 2 coins. Which coin has Thaddeus and Jolana (Help: CZK coins have values 1,2,5,10,20,50 CZK)? - The sum 8
The sum of the two numbers is 21. If three times the smaller numbers are two less than twice the larger number, find the two numbers. - Consecutive 6174
Find three consecutive integers whose sum is -693. - Two unknown numbers
One number is two less than a second number. Twice the second number is 14 lower than five times the first. Find the two numbers. - Product
The sum and the product of three integers are 6. Write the largest of them. - The sum 9
The sum of two integers is 4. Their difference is 8. What are these two integers? - The difference
The difference between the two numbers is 1375. If their exact quotient is 12. Find the two numbers - Consecutive 7556
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Quarantine cupcakes
Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes, more than Mr. Honse. If they put all their cupcakes together (which they can't because. of quarantine!), they would have 108 cupcakes. How m - Remembered 2766
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into - The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 are php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adu - Father and son
Father and son are 74 years old together. Son is 30 years younger than father. How old is the son? - Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has.
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