IXL - Write two-variable linear inequalities: word problems (Algebra 2 practice)

Tina wants to spend no more than $48 while stocking up on peanut butter and jelly. Peanut butter costs $3 per jar, while jelly costs $4.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

x
= the number of jars of peanut butter
y
= the number of jars of jelly

≤

≥

≤

≥

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question

The Washington Playhouse wants to make at least $5,700 on ticket sales this year. Currently, adults' tickets cost $67 and children's tickets cost $22.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

x
= the number of adults' tickets sold
y
= the number of children's tickets sold

5,700

≤

5,700

≥

5,700

solution

First write an inequality in words that describes the situation.

The revenue from the adults' tickets plus the revenue from the children's tickets is at least the total revenue wanted.

Now express each piece using numbers, variables, and symbols.

The revenue from the adults' tickets is $67 times the number of adults' tickets sold, which is
x
.
The product is
67
x
.
The revenue from the children's tickets is $22 times the number of children's tickets sold, which is
y
.
The product is
22
y
.
Is at least means greater than or equal. That is ≥.
The total revenue wanted is $5,700.

Finally, take the inequality written in words and rewrite it using those pieces.

The revenue from the adults' tickets

plus

the revenue from the children's tickets

is at least

the total revenue wanted

≥

5,700

The inequality that describes this situation is

≥

5,700

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