Statement Problem review - Algebra

A large bucket holds 3 L more than twice as much as a small bucket. It took 2 small buckets and 5 large buckets to fill a 63 L tank. How much does a large bucket hold?

11 L

The perimeter of a rectangle is 42 m. The length of the rectangle is 3 m less than twice the width. Find the length and the width of the rectangle

13 m x 8 m

The green tank contains 23 gallons of water and is being filled at a rate of 4 gallons per minute. The red tank contains 10 gallons of water and is being filled at a rate of 5 gallons per minute. When will the two tanks contain the same amount of water?

13 minutes

The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.

14 and 6

The larger of two consecutive integers is 11 more than one-half the smaller. Find the integers.

20, 21

The sum of three consecutive even integers is 18 more than twice the largest. Find the integers.

20, 22, 24

Find a number whose product with 7 is the same as its sum with 24.

4

The sum of twice a number and -6 is 9 more than the opposite of the number. Find the number.

5

The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller.

7 and 23

The greater of two consecutive even integers is 14 less than three times the smaller integer. Find the integers

8, 10

A honeydew melon costs four times as much as a peach. Together, they cost $1.50. How much does each cost?

peach, $.30 and melon, $1.20

Bruce's savings account contains $122 more than his younger brother's account. Together, they have $354. Find the amount in each account.

Bruce, $238 and brother, $116