Question

GUYS, I NEED YOUR HELP!! Write an equation for each word problem.

1. Nicole’s Burger Barn sold 584 hamburgers today. Three times as many hamburgers were sold with cheese. How many cheeseburgers were sold?

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

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

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

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

6. 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?

7. 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?

8. 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?

9. 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?

Answer 1

1. The number of cheeseburgers sold is 1752. 2. The number is 19. 3. The number is 23. 4. Madison has 48, and Saul has 42. 5. In more than 5 weeks, the change jar will have more than 72. 6. In 10 or more weeks, Omar will have saved enough to buy his car. 7. David traveled 19 miles. 8. There are 6 figures in a complete set. 9. An orange has 45 calories and an apple has 75 calories.

Step-by-step explanation:

1. To find the number of cheeseburgers sold, you need to multiply the number of hamburgers sold (584) by 3. So, the equation is 3 * 584 = 1752 cheeseburgers sold.
2. Let's represent the number as x. The equation would be: 4x + 25 = 6x - 13. Simplifying this equation, we get 2x = 38, which means x = 19. So, the number is 19.
3. Let's represent the number as x. The equation would be: 3x - 8 = 2x + 15. Simplifying this equation, we get x = 23. So, the number is 23.
4. Let's represent Madison's money as M and Saul's money as S. The equation would be: M = S + 6 and M + S = 90. Substituting the value of M in the second equation, we get (S + 6) + S = 90. Simplifying this equation, we get 2S + 6 = 90, and then 2S = 84. So, S = 42 and M = 42 + 6 = 48. Madison has 48, and Saul has 42.
5. Let's represent the number of weeks as x. The equation would be: 57 + 3x > 72. Subtracting 57 from both sides, we get 3x > 15. Dividing both sides by 3, we get x > 5. So, in more than 5 weeks, the change jar will have more than $72.
6. Let's represent the number of weeks as x. The equation would be: 1800 + 35x >= 2150. Subtracting 1800 from both sides, we get 35x >= 350. Dividing both sides by 35, we get x >= 10. So, in 10 or more weeks, Omar will have saved enough to buy his car.
7. Let's represent the number of miles as x. The equation would be: 2.25 + 0.20(x-1) = 6.05. Simplifying this equation, we get 0.20x - 0.20 = 6.05 - 2.25, and then 0.20x = 3.80. Dividing both sides by 0.20, we get x = 19. So, David traveled 19 miles.
8. Let's represent the number of action figures in a complete set as x. The equation would be: 6x + 2 = 3x + 20. Simplifying this equation, we get 3x = 18 and then x = 6. So, there are 6 figures in a complete set.
9. Let's represent the number of calories in an orange as x. The equation would be: x + 30 = 5(x-30). Simplifying this equation, we get x + 30 = 5x - 150, and then 4x = 180. So, x = 45. Therefore, an orange has 45 calories and an apple has 45 + 30 = 75 calories.