Question

The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get back $0.05, when you recycle an aluminum can, you get back $0.10, and when you recycle a plastic bottle, you get back $0.15. Part A: Drinks in a glass bottle cost $2.00, drinks in an aluminum can cost $0.50, and drinks in a plastic bottle cost $1.50. You plan to purchase two of each. Use the distributive property to write and expression that represents the amount of money you will spend. 15(20+l) 525 feet AlgebraNation.com Part B: You plan to recycle all of the items you purchased. Use the distributive property to write an expression to represent the amount of refund you will receive. Part C: After receiving the refund, how much was your net cost for the items. Hint: Net cost is equal to the total cost minus the amount of your refund.

Answer 1

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50

Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)

Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.

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Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15

Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)

Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.

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Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40