Question

Write an equation for each word problem. Then solve.

1. Konrad has $57 in his change jar and adds $3 each week. In how many weeks will the change jar have more than $72?

2. Omar needs at least $2,150 to buy a used car. He already has $1,800 saved in his bank account. If Omar saves an additional $35 a week, in how many weeks will he have saved enough to buy his car?

Answer 1

1: (72-57)/3=5

2:(2,150-1,800)/35=10 those are the answers

Answer 2

1.

Let w be the number of weeks it takes for Konrad to have more than $72.

The equation we can derive is 57 + 3w > 72.

Then solve:

57 + 3w > 72

3w > 15

w > 5

Then w must be 6, which is the next number greater than 5.

2.

Let w be the number of weeks it takes Omar to have enough money for the car.

The equation we can derive is 1800 + 35w
`\geq` 2150.

Then solve:

1800 + 35w
`\geq` 2150

35w
`\geq` 350

w
`\geq` 10

Then w must be 10.