At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets
Answers
The number of food tickets sold is 180 and ride tickets is 350.
In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.
2x + 3y = 1240 equation 1
x = 2y – 10 equation 2
Substitute for x in equation 1
2(2y -10) + 3y = 1240
4y - 20 + 3y = 1240
Combine similar terms
7y = 1240 + 20
7y = 1260
Divide both sides of the equation by 7
y = 1260 / 7
y = 180
Substitute for y in equation 1
2x + 3(180) = 1240
2x + 540 = 1240
2x = 1240 - 540
2x = 700
x = 700 / 2
x = 350
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
180 food tickets and 350 ride tickets
Step-by-step explanation:
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What is the area of the label on the soup can?
The label is represented by the rectangle in the figure.
The height of rectangle is given as 7.8 inches. The length is equal to the circumference of the circular base of the cylinder.
The circumference of a circle is: 2πr
In this case, the radius of each circle is 4 inches. So, the circumference of each circle is:
= 2π(4)
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As length of rectangle represents circumference, its length is equal to 8π inches. The height of rectangle is given as 7.8 inches.
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