Question

Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.

Grocery store: 9 ounces for $3.75
Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)

Answer 1

Jonah will save $0.2261 per ounce by purchasing raisins in bulk compared to buying them at the grocery store. The cost per ounce at the grocery store is $0.4167, while it is $0.1906 per ounce for the bulk order.

Step-by-step explanation:

Jonah is considering two options for purchasing raisins to use in his bakery. To compare the savings per ounce between buying raisins at a grocery store or in bulk, we need to calculate the cost per ounce for each option and then find the difference.

Step 1: Calculate Cost per Ounce for Grocery Store Raisins

The grocery store sells raisins at $3.75 for 9 ounces. To find the cost per ounce, divide the total cost by the total number of ounces:

Cost per ounce = Total cost / Total ounces = $3.75 / 9 ounces = $0.4167 per ounce

Step 2: Calculate Cost per Ounce for Bulk Order Raisins

The bulk order provides 5 pounds of raisins for $15.25. Since there are 16 ounces in a pound, we first convert pounds to ounces:

5 pounds * 16 ounces/pound = 80 ounces

Now we find the cost per ounce:

Cost per ounce = Total cost / Total ounces = $15.25 / 80 ounces = $0.1906 per ounce

Step 3: Calculate the Savings per Ounce

Finally, we subtract the bulk order cost per ounce from the grocery store cost per ounce to find the savings:

Savings per ounce = Grocery store cost per ounce - Bulk order cost per ounce = $0.4167 - $0.1906 = $0.2261 per ounce

By ordering the raisins in bulk, Jonah saves $0.2261 per ounce.