Zelda bought pears that cost$1.72 per pound. If she has $10, what is the greatest number of pounds of pears she can buy, to the nearest quarter pound?

1.72x ≤ 10.00

Solve for x.

To find the greatest number of pounds of pears Zelda can buy with $10, we need to divide the total amount of money she has by the cost per pound of pears.

Amount of money Zelda has: $10
Cost per pound of pears: $1.72

Let's calculate the maximum pounds of pears Zelda can buy:

Maximum pounds of pears = Amount of money Zelda has / Cost per pound

Maximum pounds of pears = $10 / $1.72

Maximum pounds of pears ≈ 5.81395348837

To the nearest quarter pound, the greatest number of pounds of pears Zelda can buy is approximately 5.75 pounds.

To find the greatest number of pounds of pears Zelda can buy within her budget, we need to divide her available money by the cost per pound.

First, we convert her budget of $10 to cents: $10 * 100 = 1000 cents.

Next, we divide the budget in cents by the cost per pound, which is $1.72 in cents: 1000 cents / 172 cents = 5.81 pounds.

Since we need to round to the nearest quarter pound, we round 5.81 pounds to the nearest quarter, which is 5.75 pounds.

Therefore, Zelda can buy up to 5.75 pounds of pears with her $10 budget.