Question

A picnic favorite is strawberry Shortcake! Each batch of strawberry

shortcake calls for 1 2/5 pounds of cake and 3/4 pound of strawberries. If
you want to make 5 batches of strawberry shortcake, how many pounds
of cake and strawberries do you need to buy?

Answer 1

To make 5 batches of strawberry shortcake, you need 7 pounds of cake and 3 3/4 pounds of strawberries.

Step-by-step explanation:

To find the pounds of cake and strawberries needed to make 5 batches of strawberry shortcake, we need to multiply the amount required for one batch by 5.

Each batch calls for 1 2/5 pounds of cake, so 5 batches would require 5 * 1 2/5 = 7 pounds of cake.

Each batch also requires 3/4 pound of strawberries, so 5 batches would require 5 * 3/4 = 15/4 = 3 3/4 pounds of strawberries.

Answer 2

To make 5 batches of strawberry shortcake you'll need 7 pounds of cake and 3 3/4 pounds of strawberries for a total sum of 10 3/4 pounds.

Step-by-step explanation:

1 - Write an equation to represent the problem

For every batch, it takes 1 2/5 pounds of cake and 3/4 pounds of strawberries

therefore

`Let \\\ n_c = pounds~of~cake \\\\_s = pounds~of~strawberries \\\b = number~of~batches`

`n_c = 1 (2)/(5)b \\\\_s = (3)/(4)b`

For ease of math, lets convert these to decimals

`n_c = 1.4b \\\\_s = 0.75b`

2 - Plug in your variables to solve for cake and strawberries

Cake

`n_c = 1.4b \\\ n_c = 1.4(5)\\n_c = 7`

To make 5 batches of strawberry shortcake you will need 7 pounds of cake

Strawberry

`n_s = 0.75b \\\\_s = 0.75(5) \\\\_s = 3.75`

to make 5 batches of strawberry shortcake you will need 3.75 or 3 3/4 pounds of strawberries --- Totalling in at 10.75 pounds or 10 3/4

Hope this helps :)