Answer:
What is the cost of a chicken shawarma wrap?
$10.99
What is the cost of one order of spiced potatoes?
$4.99
If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
3x + 2y = $42.95..........Eq 1
5x + 4y = $74.91..........Eq 2
Explanation:
Cost of a chicken sharwarma wrap = a
Cost of an order of spiced potatoes = b
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3x + 2y = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5x + 4y = $74.91 ................Equation 2
So we have:
3x + 2y = $42.95..........Eq 1
5x + 4y = $74.91..........Eq 2
We use Elimination method
Multiply Equation 1 by coefficient of y in Equation 2
Equation 2 by coefficient of y in Equation 1
3x + 2t= $42.95 .............Equation 1 × 4
5x + 4y = $74.91 ................Equation 2 × 2
12x + 8y = 171.80..............Equation 3
10x + 8y = 149.82..............Equation 4
Subtract Equation 3 from Equation 4
2x = 21.98
x = 21.98/2
x = 10.99
Therefore, x = Cost of Chicken sharwarma wrap = $10.99
Subtitute 10.99 for 9in Equation 1
3x + 2y = $42.95 .............Equation 1
3(10.99) + 2y = 42.95
32.97 + 2y = 42.95
2y = 42.95 - 32.97
2y = 9.98
y = 9.98/2
y = 4.99
y = Cost of an order of spiced potatoes = $4.99
Hence,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99