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 A:  $9 > $2.40 + $(2.20)(x)

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

Step-by-step 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.