Question

Uyen's Shopping Trip

Uyen wants to buy some grapes and a gallon of milk. She has $10 to spend.
Grapes cost $1.75 a pound, and milk costs $2.99 a gallon. How many pounds of
grapes can she buy?
Write an inequality to represent Uyen's purchase. Let x represent the pounds of
grapes.

Answer 1

A. 1.75x + 2.99 ≤ 10

B. Uyen can only buy 4 pounds of grape.

Explanation:

Let x be the pounds of

grapes.

Cost of 1 pound of grape = $1.75

Therefore, the cost of x pounds of grape = 1.75x

A gallon of milk cost = $2.99

Total amount Uyen can spend is $10

A. Determination of the inequality to represent Uyen's purchase.

The equation for Uyen's purchase will be the sum of pounds bought and the amount of a gallon of milk.

Note: Uyen's expenditure must not be greater than $10. This means that her total expenditure must be lesser than or equal to $10

The equation is given below:

Amount Pounds bought + amount of a gallon of milk ≤ total amount

1.75x + 2.99 ≤ 10

Therefore, the inequality that represents Uyen's purchase is:

1.75x + 2.99 ≤ 10

B. Determination of the pounds of grape Uyen can buy. This is illustrated below:

1.75x + 2.99 ≤ 10

Collect like terms

1.75x ≤ 10 – 2.99

1.75x ≤ 7.01

Divide both side by 1.75

x ≤ 7.01 / 1.75

x = 4

Therefore, the number of pounds of grape Uyen can buy is 4.