Question

3(9a+6b)−(5a+2b)

Part A: Simplify the expression shown above. Include all necessary work to support your answer.

Part B: If a represents apples that cost $0.35 each and b represents bananas that cost $0.20 each, what is the total cost based on the expression above? Include all necessary work to support your answer.
PLEASE HELP I NEED ASAP WHATS PART B

Answer 1

Part A:

To simplify the expression 3(9a+6b)−(5a+2b), we need to distribute the 3 and perform the subtraction:

3(9a+6b)−(5a+2b) = 27a + 18b - 5a - 2b

Combining like terms, we get:

27a - 5a + 18b - 2b = 22a + 16b

Therefore, the simplified expression is 22a + 16b.

Part B:

If a represents apples that cost $0.35 each and b represents bananas that cost $0.20 each, we can substitute these values into the expression 22a + 16b to find the total cost.

22a + 16b = 22($0.35)a + 16($0.20)b

= $7.70a + $3.20b

Therefore, the total cost based on the expression is $7.70 per apple and $3.20 per banana.