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Sagot :
Step-by-step explanation:
If 4 hamburger = $21.25
1 hamburger = x
Cross multiply
4 x x = $21.25 x 1
4x = $21.25
Devide both side with the coefficient of x
4x/4 = $21.25/4
X = $5.3125
Therefore 1 hamburger cost $5.31
If 4 hotdogs = $22.75
1 hotdog = y
Cross multiply
4 x y = $22.75 x 1
4y = $22.75
Devide both sides with the coefficient of y
4y/4 = $22.75/4
Y = $5.6875
Therefore one hotdog cost $5.69

Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
- 7 hot dogs + 4 hamburgers = $21.50
- 4 hot dogs + 7 hamburgers = $22.75
Let's set some variables.
- hot dogs = x
- hamburgers = y
So, our equations are :
- 7x + 4y = 21.50
- 4x + 7y = 22.75
Mulitply equation #1 by 7 and equation #2 by 4.
- 49x + 28y = 150.50 (Equation 3)
- 16x + 28y = 91.00 (Equation 4)
Subtract equation 4 from equation 3.
- 49x - 16x + 28y - 28y = 150.5 - 91
- 25x = 59.5
- x = $2.38 [cost of one hot dog]
Substitute value of x in equation 4.
- 16(2.38) + 28y = 91
- 38.08 + 28y = 91
- 28y = 52.92
- y = $1.89 [cost of one hamburger]
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