89.0k views
20 votes
roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation

User Vashishth
by
3.5k points

1 Answer

7 votes

Final answer:

The inequality representing Robert's grocery situation, where x is the number of quarts of milk he buys, is 1.20x + 2.20 ≤ 9. This means the combined cost of the milk and bread must not exceed the $9 he has to spend.

Step-by-step explanation:

The question asks us to create an inequality to represent the situation where Robert can buy as many quarts of milk as possible with $9 after spending $2.20 on a loaf of bread. Let x represent the number of quarts of milk Robert buys. Each quart of milk costs $1.20, so the total cost of milk will be $1.20 times x. We know that Robert's mom gave him $9, so after buying the bread, he has $9 - $2.20 left for milk. Therefore, the inequality will be:

1.20x + 2.20 ≤ 9

This means that the cost of the milk (1.20x) plus the cost of the bread ($2.20) must be less than or equal to the total amount of money Robert has ($9).

User BogdanBiv
by
3.3k points