Question

Trent ordered sandwiches for his friends. The veggie sandwiches cost $4 apiece and the meat sandwiches cost $5 apiece. Trent ordered 5 sandwiches and paid $22. How many of each type of sandwich did he order?

Answer 1

Trent ordered 3 veggie sandwiches and 2 meat sandwiches.

Step-by-step explanation:

Given,

Total sandwiches ordered = 5

Total amount spent = $22

Cost of one veggie sandwich = $4

Cost of one meat sandwich = $5

Let,

x be the number of veggie sandwiches

y be the number of meat sandwiches

According to given statement;

x+y=5       Eqn 1

4x+5y=22   Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=5)\\4x+4y=20\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+5y)-(4x+4y)=22-20\\4x+5y-4x-4y=2\\y=2$

Putting y=2 in Eqn 1

$x+2=5\\x=5-2\\x=3$

Trent ordered 3 veggie sandwiches and 2 meat sandwiches.

Keywords: linear equation, elimination method

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