Question

A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. Write and solve an equation to show what percent of sandwiches sold were pastrami.

a) p * 90 = 36, p = ____ %
b) p * 100 = 36, p = ____ %
c) 36 / p = 90, p = ____ %
d) 36 / 90 = p, p = ____ %

Answer 1

The percentage of pastrami sandwiches sold is found by dividing the number of pastrami sandwiches by the total number of sandwiches and then multiplying by 100 to get a percentage. The correct equation and solution are 36 / 90 = p, which gives p = 40%.

Step-by-step explanation:

The student is asking how to write and solve an equation to find the percentage of pastrami sandwiches sold in a deli out of the total number of sandwiches sold.

The correct equation to represent this situation is 36 / 90 = p, where p is the percentage (in decimal form) of pastrami sandwiches sold out of the total. To solve for p, divide 36 by 90, which gives p = 0.4. To convert this decimal to a percentage, multiply by 100, resulting in p = 40%. Therefore, 40% of the sandwiches sold were pastrami.