Linear Equations in Real-World Scenarios Quick Check

Question

Two machines at a factory are filling cans of soup. One machine has filled 92 cans of soup. It fills cans at a rate of 16 cans per minute. The second machine has filled 104 cans of soup. It fills cans at a rate of 13 cans per minute. Write and solve an equation to show when the two machines will have filled the same number of cans of soup. (1 point)
◎ 92+ 162= 104+ 132:2=4
• 104 + 16x = 92+130:1=4
0 92 - 16 = 104 - 132; 2 = -4
O 92 + 16+ = 104+130:2=6

Answer 1

The correct equation to represent the situation is:

92 + 16x = 104 + 13x

To find the value of x, you need to solve for x.

92 + 16x = 104 + 13x

Subtract 13x from both sides:

92 + 3x = 104

Subtract 92 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the two machines will have filled the same number of cans of soup after 4 minutes.