Question

Patricia had less than $9 to spend when she went to the grocery store. She bought 1 pound of tomatoes and wanted to spend the rest of her money on Potatoes. One pound of Tomatoes cost $2.40 and one pound of potatoes cost $2.20.

Question A: Write inequality to show how many pounds of potatoes, x, Patricia can buy.
Question B: Solve the inequality above to find how many pounds of potatoes Patricia can buy.

Answer 1

B is 4 pounds of potato's. But I can't figure out A :/ sorry

Answer 2

Answer A: $9 > $2.40 + $(2.20)(x)

Answer B: Patricia can buy less than 3 pounds of potatoes.

Explanation:

Patricia had less than $9 to spend at the grocery store.

She bought 1 pound of tomatoes and wanted to spend the rest amount on potatoes.

Since 1 pound of tomatoes cost = $2.40

If 1 pound of potatoes cost = $2.20

Now cost of x pounds of potatoes = $(2.20).(x)

Total money spent = money spent on potatoes + amount spent on potatoes

$9 = $2.40 + $(2.20).(x)

But Patricia is having money less than $9 to spend, so total amount spent

will be less than $9 and the inequality will be as below.

Answer A: $9 > $2.40 + $(2.20)(x)

Now solve the inequality to find how many pounds of potatoes Patricia can buy.

9 > 2.40 + 2.20x

2.20x + 2.40 < 9 (Subtract 2.40 from both side)

2.2x + 2.4 - 2.2 < 9 - 2.4

2.2x < 6.6 (divide both side from 2.2)

2.2x/2.2 < 6.6/2.2

x < 3

Answer B: Patricia can buy less than 3 pounds of potatoes.