a) One day Jody snacked on three carrots and four Oreos for a total of 295 calories. The next day Jody snacked on one carrot and three Oreos for a total of 190 calories. Determine the number of calories in a carrot and the number of calories in an Oreo. b) Tickets to a local fair cost $8.00 for adults and $6.50 for children. One Saturday, 324 tickets were sold for total of $2,478. How many of each type of ticket was sold that day?
Solve each of the following application problems by…
• defining two variables (using words)
• setting up a system of two equations using the two variables
• solving the system using your choice of the substitution or elimination method,
showing supporting work
• stating your answer in a complete sentence, including units
a) One day Jody snacked on three carrots and four Oreos for a total of 295 calories.
The next day Jody snacked on one carrot and three Oreos for a total of 190 calories.
Determine the number of calories in a carrot and the number of calories in an
Oreo.
b) Tickets to a local fair cost $8.00 for adults and $6.50 for children. One Saturday,
324 tickets were sold for total of $2,478. How many of each type of ticket was
sold that day?
a)
Given,
Let "x" represent the number of calories contained in 1 carrot and "y" represents the number of calories contained in 1 Oreos.
On the first day, Jody snacked on 3 carrots and 4 Oreos for a total of 295 calories.
The next day Jody snacked on 1 carrot and 3 Oreos for a total of 190 calories.
From Equation (2) we get,
Substitute it in Equation (1) we get,
Substitute the value of y=55 in Equation (2) we get,
Therefore 1 carrot contains 25 calories and 1 Oreo contains 55 calories.
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