Ono large box and two small boxus weigh a lotal of 100 pounds.One large box and four small boxes weigh a Inlal of 140 pounds. The weight imit of a trailer is 1200 pounds. Write an inequality that represents the numbers of large,, and small, y, boxes that can be loaded in the trailer. ysquare leqslant x+square ... -60 -20 -10 113 : 10 - 20

Question

Ono large box and two small boxus weigh a lotal of 100 pounds.One large box and four small boxes weigh a Inlal of 140 pounds. The weight imit of a trailer is 1200 pounds. Write an inequality that represents the numbers of large,, and small, y, boxes that can be loaded in the trailer. ysquare leqslant x+square ... -60 -20 -10 113 : 10 - 20

Answer 1

###

### -3### 60

Answer 2

## Step 1: Define Variables and Equations### Let

represent the weight of a large box and

represent the weight of a small box. We can set up a system of equations based on the given information:

## Step 2: Solve for

### Subtract the first equation from the second equation to eliminate

:

## Step 3: Solve for

### Substitute the value of

(20) back into the first equation:

## Step 4: Write the Inequality### Let 'L' be the number of large boxes and 'S' be the number of small boxes. The total weight must be less than or equal to 1200 pounds. Since a large box weighs 60 pounds and a small box weighs 20 pounds, the inequality is:

## Step 5: Simplify the Inequality### Divide the inequality by 20:

## Step 6: Rewrite in terms of S### Isolate S:

Question

Solution

Answer

Explanation