The number of hot dogs, x is 36 and hamburgers, y is 5 were sold
Step-by-step explanation:
Carlos ran a concession stand last Saturday and made $63.90 from
a total of 41 hot dogs and hamburgers. Each hot dog sold for $1.40
and each hamburger sold for $2.70
1. The number of hot dogs is x, and hamburgers is y
2. He made $63.90 from a total of 41 hot dogs and hamburgers
3. Each hot dog sold for $1.40 and each hamburger sold for $2.70
We need to find the number of hot dogs and hamburgers, that were sold
∵ The number of hot dogs is x, and hamburgers is y
∵ He sold 41 hot dogs and hamburgers
∴ x + y = 41 ⇒ (1)
∵ Each hot dog sold for $1.40 and each hamburger sold for $2.70
∵ He sold x hot dogs and y hamburgers
∵ He made $63.90 from sold them
∴ 1.4 x + 2.7 y = 63.9 ⇒ (2)
Let Us solve the system of equations to find x and y
Multiply equation (1) by -2.7 to eliminate y
∵ (-2.7)x + (-2.7)y = (-2.7)(41)
∴ -2.7 x - 2.7 y = -110.7 ⇒ (3)
- Add equations (2) and (3)
∴ -1.3 x = -46.8
- Divide both sides by -1.3
∴ x = 36
Substitute the value of x in equation (1) to find y
∵ x + y = 41 ⇒ (1)
∴ 36 + y = 41
- Subtract 36 from both sides
∴ y = 5
The number of hot dogs, x is 36 and hamburgers, y is 5 were sold
Learn more:
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