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andrew-mc [135]
3 years ago
13

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg) and gas costs $3.02 per gallon. Let n represent the number o

f miles Claudia has traveled since she started driving. Suppose Claudia has traveled 216 miles.
How many gallons of gasoline has Jacqueline used since she started driving?
What is the cost of the gasoline that Jacqueline has used since she started driving?
Write an expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving.
Write an expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving.
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Let n represent the number of miles Claudia has traveled since she started driving.

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg).

The expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving would be

n/24

Gas costs $3.02 per gallon. The expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving would be

n/24 × 3.02 = 3.02n/24

Suppose Claudia has traveled 216 miles, then the number of gallons of gasoline that Jacqueline has used since she started driving is

216 /24 = 9 gallons of gasoline.

The cost of the gasoline that Jacqueline used since she started driving is

(3.02 × 216)/24 = $27.18

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,169 was collected on the sale of 1,325 ticket
eimsori [14]

Answer:

461 adults and 864 students

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.

We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.

We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.

1(1325-a)+5a=3169

1325-a+5a=3169

1325+4a=3169

1325-1325+4a=3169-1325

4a=1844

a=461

This means that 461 adults attended and 864 students attended since 864+461=1325.

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