Answer:
egg- 1.00
pancake- 1.25
slice of bacon- 0.40
slice of toast- 0.40
glass of orange juice- 2.15
glass of milk- 1.50
Step-by-step explanation:
<h3>colleen and Candice had similar orders so lets make equations with those:</h3>
3x + 2y = 5.30
2x + 1y = 2.95
2x + y = 2.95
y = 2.95 - 2x
substitute y for 2.95 - 2x
3x + 2(2.95-2x) = 5.30
3x + 5.90 - 4x = 5.30
-x = 5.30 - 5.90
-x = -0.40
x = 0.40
bacon costs 0.40$
substitute x for 0.40
2(0.40) + y = 2.95
0.80 + y = 2.95
y = 2.15
a glass of orange juice costs 2.15$
<h3>next, Travis and Luke also have similar orders, so make 2 equations with those as well.</h3>
6x + 3y = 7.20
3x + 2y = 3.80
multiply the second equation by -2 to solve by elimination
3x + 2y = 3.80
-6x- 4y = - 7.60
add to the first equation
0 - y = - 0.40
y = 0.40
a slice of toast costs 0.40$
substitute y for 0.40
3x + 2*0.40 = 3.80
3x + 0.80 = 3.80
3x = 3
x = 1
an egg costs 1$
<h3>finally, Johnny and Sara have similar orders blah blah equations</h3>
5x + 3y = 10.75
3x + 2y = 6.75
5x + 3y = 10.75
multiply equation by 3
15x + 9y = 32.25
3x + 2y = 6.75
multiply by -5
-15x - 10y = -33.75
add the new equations together
15x + 9y = 32.25
-15x - 10y = -33.75
0x - y = - 1.5
y = 1.50
a glass of milk is 1.50$
substitute y for 1.50
3x + 2*1.50 = 6.75
3x + 3 = 6.75
3x = 3.75
x = 1.25
a pancake is 1.25$
