Question

Vanessa is a caterer. She made several batches of appetizers last weekend for an event. This weekend, vanessa made 4 times as many batches. She made a total of 25 batches of appetizers for the two weekends. Determine the nmber of batches vanessa made last weekend and the number of batches she made this weekend. Let b=the number of batches of appetizers vanessa made last weekend

Answer 1

Answer:

Vanessa made 6.25 batches of appetizers last weekend and made 18.75 batches of appetizers this weekend.

Step-by-step explanation:

Let b represent the number of appetizers Vanessa made last weekend.

Since Vanessa made 4 times what made last weekend, let the number of appetizers she made this weekend by represented by 4 × b.

Total batches of appetizers made for the two weekends = 25

Thus, to determine the batches of appetizers made last weekend we perform this operation:

$4 \times b = 25$

$4b = 25$

Divide both sides by 4

$\frac{4b}{4} = \frac{25}{4}$

$b = 6.25$

Hence, Vanessa made 6.25 batches of appetizers last weekend.

Since total batches of appetizers made by Vanessa for the two weekends is 25, to determine what she made this weekend we say:

$25b - 6.25b = 18.75b$

Thus, Vanessa made 18.75 batches of appetizers this weekend. By implication, she made 6.25 batches + 18.75 batches of appetizers = 25 batches of appetizers for the two weekends.