Question

Bill starts with 60 grapes and picks 5 grapes per minute. Bill stopped picking grapes when there were 105 grapes left. For how many minutes was Bill picking grapes? 

Let x = minutes picking
Choose the equation that correctly models this problem.
(A) 105 - 5x = 60
(B) 60 + 5x = 105
(C) 105 + 5x = 60
(D) 60 - 5x = 105

Answer 1

The correct equation modeling the problem of Bill picking grapes is 60 + 5x = 105, where x represents the minutes spent picking grapes. Bill initially had 60 grapes and stopped when he had 105, picking 5 grapes per minute.

Step-by-step explanation:

The student is asking how many minutes Bill was picking grapes if he started with 60 grapes and was picking at a rate of 5 grapes per minute until he had 105 grapes. To model this problem, we set up an equation with the total number of grapes, starting amount, and picking rate.

Bill starts with 60 grapes, and for each minute that passes, he adds 5 grapes to his collection. When he stopped picking, he had 105 grapes in total. So, the equation representing the situation where x equals the minutes of picking grapes would be:

60 + 5x = 105

This is because each minute, the total number of grapes increases by 5, starting from 60, until it reaches 105 grapes. Therefore, option (B) 60 + 5x = 105 is the correct model for the problem.