Question

A truck holds at most 20,000 pounds there are 18 boxes on the truck each weighs 750 pounds how many additional boxes can the truck hold graph the solution show your work

Answer 1

The truck can hold an additional 26 boxes weighing 750 pounds each.

Step-by-step explanation:

To find out how many additional boxes the truck can hold, we need to determine how much weight the truck can still carry. The truck can hold at most 20,000 pounds, and each box weighs 750 pounds, so we need to divide 20,000 by 750 to find the number of additional boxes.

20,000 / 750 = 26.67

Since we can't have a fraction of a box, we round down to the nearest whole number. Therefore, the truck can hold an additional 26 boxes.

To graph the solution, you can create a number line with the weight capacity of the truck (20,000 pounds) marked at zero. Then, mark off increments of 750 pounds for each box. Starting from zero, count up by 750 pounds until you reach 20,000. The number of boxes you reach will be the number of additional boxes the truck can hold.

Answer 2

The truck can hold a maximum of 8 additional boxes.

To determine the number of additional boxes the truck can hold, subtract the weight of the existing boxes from the maximum weight capacity of the truck.

Existing weight of boxes =
`\(18 \text{ boxes} * 750 \text{ pounds/box}\)`

`\[ \text{Existing weight} = 18 * 750 = 13,500 \text{ pounds} \]`

Maximum additional weight the truck can hold:

`\[ \text{Maximum weight capacity} - \text{Existing weight} = 20,000 - 13,500 = 6,500 \text{ pounds} \]`

Now, calculate the maximum number of additional boxes by dividing the remaining weight by the weight of each box:

`\[ \text{Maximum additional boxes} = \frac{6,500 \text{ pounds}}{750 \text{ pounds/box}} \]`

`\[ \text{Maximum additional boxes} \approx 8.67 \]`

Since you cannot have a fraction of a box, the truck can hold a maximum of 8 additional boxes.