Question

Jamison wants to save up his money to buy a car. His parents said they will match what he saves, up to $2000. Jamison mows lawns in the summer, and shovels snow in the winter. He charges $25 per lawn, and $20 per driveway. Let X represent the amount of money that Jamison can save so that his parents will match the amount. Let L represent the number of lawns he mows , and T represent the number of driveways he shovels. Which of the following inequalities need to be part of the system? Select all that apply.

25L + 20d < x
x (greater than or equal to) 2000
20L+25d=x
25L+20d=x
x(less that or equal to)2000

Answer 1

25l+20d=x and x ≤ 2000 needs to be part of the system.

Explanation:

Given that:

Amount charged per lawn = $25

Number of lawns = l

Amount charged per driveway = $20

Number of driveways = d

Amount saved by Jamison = x

`25l+20d=x`

Amount given by parents = upto $2000

It means the parents will not give more money than $2000, therefore, we will use less than equal to inequality

x ≤ 2000

Hence,

25l+20d=x and x ≤ 2000 needs to be part of the system.