Question

question 3. Read the problem and write your answer for each part. make sure to label each part: Part A, Part B, Part C.jonathan wants to donate more than $5,000 in laptop's and bicycles to a local school. each laptop that he donates is worth $200 and each bicycle is worth $100.Part A: write an inequality to represent the number of laptop's (L) and bicycles(B) that jonathan should donate to reach his goalPart B: if jonathan donates 10 laptop's and 10 bicycle's, will he reach his goal? why or why not? include evidence to support your solution (show and/or explain your work) write your response in a complete sentencePart C: give a possible solution to the number of laptop's and bicycles that jonathan can donate to achieve his goal. Include evidence to support your solution. (show and/or explain your work.) write your answer in a complete sentence

Answer 1

Given :

Jonathan wants to donate more than $5,000 in laptops and bicycles to a local school.

The laptop worth $200

The bicycles worth $100

Let L represents the number of laptops and B represents the number of bicycles

Part A: write an inequality to represent the situation

`200L+100B>5000`

Part B: if Jonathan donates 10 laptops and 10 bicycles, will he reach his goal?

Substitute with L = 10 and B = 10

So,

`200L+100B=200\cdot10+100\cdot10=2000+1000=3000`

So, the answer is: No, he did not reach his goal because 10 laptops and 10 bicycles worth $3000 which is less than $5000

Part C: The solution of the inequality of part A is as shown in the following picture

As shown in the picture, the shaded area is the solution to the inequality

so, one of the possible solutions is (12, 30)

so, he can donate 12 laptops and 300 bicycles

It will be worth : 12 * 200 + 30 * 100 = 2400+3000 = 5400 > 5000

The point ( 16, 20 ) is also one of the possible solutions