Final answer:
To determine the weight of the apples, a system of equations was set up based on the given relationships among the weights of the fruits. Solving this, it was found that the apples weigh 4.2 pounds.
Step-by-step explanation:
To find the weight of the apples, we need to let the weight of the apples be 'A' pounds. According to the problem, we know that the weight of the grapes is 1 lb less than the apples, so the grapes weigh 'A - 1' pounds. Likewise, the weight of the bananas is 1 lb less than the weight of the grapes, so they weigh 'A - 2' pounds. The total weight of the fruits is 9.6 lbs. We can represent this as an equation:
A + (A - 1) + (A - 2) = 9.6 lbs
Combining like terms, we get:
3A - 3 = 9.6
Add 3 to both sides of the equation:
3A = 12.6
Divide both sides by 3 to find the weight of the apples:
A = 4.2 lbs