Question

Sandy is making four sandwich platters. Each sandwich platter contains turkey slices that weigh 2 ounces each and bread slices that weigh 1 ounce each. In each platter, she has a total of 100 slices of turkey and bread that weigh a total of 160 ounces. Find the system of equations whose solutions give the number of turkey slices, t, and the number of bread slices, b, that are in the 4 sandwich platters.

• A. $t+b=100$
  $2t+b=160$
• B. $t+b=160$
  $2t+b=100$
• C. $t+b=400$
  $2t+b=160$
• D. $t+b=400$
  $2t+b=640$

Answer 1

Answer: (D)

$t+b=400$

$2t+b=640$
Given Sandy making a total of 100 slices of turkey and bread slices that weight a total of 160 ounces

If he take t turkey slices and b bread slices for making four sandwich platters

Then total slices t+b of 100 slices for 4 sandwiches are $4\times 100=400$ and whose weight are $4\times 160=640$

So

$t+b=400$......................(1)

$2t+b=\mathrm{640...}$....................(2)