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Write an equation for each word problem.

1. Four times a number increased by 25 is 13 less than six times the number. Find the number.

2. Three times a number decreased by 8 is the same as twice the number increased by 15. What is the number?

3. Madison has $6 more than Saul. Together Madison and Saul have $90. How much money do they each have?

4. Konrad has $57 in his change jar and adds $3 each week. In how many weeks will the change jar have more than $72?

5. Omar needs at least $2,150 to buy a used car. He already has $1,800 saved in his bank account. If Omar saves an additional $35 a week, in how many weeks will he have saved enough to buy his car?

6. A taxi company charges $2.25 for the first mile and $0.20 for each additional mile. If David’s taxi fare was $6.05, how many miles did he travel?

7. Charlie and Patrick have the same number of action figures in their collections. Charlie has 6 complete sets plus 2 individual figures. Patrick has 3 complete sets plus 20 individual figures. How many figures are in a complete set?

8. An apple has 30 more calories than an orange. Five oranges have about as many calories as 3 apples. How many calories are in each?

1. 4x + 25 = 6x – 13

2. 3x – 8 = 2x + 15

3. Saul: x = 90/2 – 6

Madison: x = 90/2 + 6

4. 57 + 3x > 72

5. 1,800 + 35x ≥ 2,150

6. 2.25 + .2x = 6.05

7. 6x + 2 = 3x + 20

8. 3(x + 30) = 5x