Respuesta :
Question:
Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?
Answer:
The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26
Solution:
Let "a" be the cost of each burrito platters
Let "b" be the cost of each taco platters
Carmen spent $58 on one burrito bladder and one taco platter
Therefore we frame a equation as:
one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58
[tex]1 \times a + 1 \times b = 58[/tex]
a + b = 58 ---------- eqn 1
For a company meeting, she spent $90 on two burrito platters and one taco platter
two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90
[tex]2 \times a + 1 \times b = 90[/tex]
2a + b = 90 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Subtract eqn 1 from eqn 2
2a + b -a - b = 90 - 58
a = 32
Substitute a = 32 in eqn 1
32 + b = 58
b = 26
Hence, cost of 1 burrito = $32 and the cost of 1 taco platter = $26
