Question

Connor has $20 to buy one-half gallon of juice and some containers of yogurt. If the juice costs $3.50, and the yogurt costs $1.25 each, how many containers of yogurt can he buy? Write and solve an inequality.

Answer 1

Connor can buy up to 13 containers of yogurt with his remaining money after purchasing half a gallon of juice. We calculate this by setting up an inequality, considering Connor started with $20 and the juice costs $3.50, leaving $16.50 for yogurt at $1.25 each.

Step-by-step explanation:

The question asks us to determine how many containers of yogurt Connor can buy with his remaining money after purchasing one-half gallon of juice. Connor starts with $20 and the juice costs $3.50. First, we subtract the cost of the juice from the total amount Connor has:

$20 - $3.50 = $16.50

Now, with the remaining $16.50, we need to find out how many $1.25 yogurts Connor can buy. We set up an inequality because Connor might not spend all his money down to the last cent since the cost of a yogurt container might not divide evenly into the remaining amount:

1.25y ≤ 16.50

To solve this inequality, we divide both sides by 1.25 to find the maximum number of yogurt containers Connor can buy:

y ≤ 16.50 / 1.25

y ≤ 13.2

Since Connor cannot buy a fraction of a yogurt container, we round down to the nearest whole number. Therefore, Connor can buy up to 13 containers of yogurt.