Question

Roopesh has $24 dollars to spend on a birthday gift. The store where he is shopping has a sale offering $5 off the regular price, r, of any item. Write an inequality that can be used to determine the regular price of an item in the store that Roopesh can afford. (Assume there is no tax.)
What is the unknown?



Which expression can represent the sale price?



Which comparison could be used?



Which inequality represents the situation?

Answer 1

For this case we have the following data:

Available quantity: $ 24

Regular price: r

Sale price:$r-5$

If we have that Roopesh can not pay more than $ 24, we can write the following inequality, taking into account that the item is sold in $r-5$:

$r-5 \leq24$

Clearing r:

$r \leq24+5\\r \leq29$

Answer:

• What is the unknown?

$r \leq29$

• Which expression can represent the sale price?

$r-5$

• Which comparison could be used?

The sale price decreases $ 5 and so the regular price is obtained.

• The inequality is: $r-5 \leq24$