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lbvjy [14]
3 years ago
12

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay

Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0
A=adult pay
c=child pay
3a+4c=83
2a+3c=59
subtract
a+c=24
2a+2c=48
2a+3c-2a-2c=59-48
c=11
a=24-11=13
price of adult ticket=13$
price of child's ticket=$11

uysha [10]3 years ago
3 0
Let x and y represent the costs of adult and child tickets, respectively. Then the problem statement gives two relations:
.. 3x +4y = 83
.. 2x +3y = 59
A graph shows the solution to be (x, y) = (13, 11).

The price of a child's ticket is $11.
The price of the adult ticket is $13.

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Tony buys CD that is priced at $13.59. Ha has a coupon for $1.85 off. He pays with a $20 bill. Which is the best whole number es
anygoal [31]

Tony will get $8.26 back.

Here's why:

First, let's take $1.85 away from $13.59, because he has a coupon. That leaves us with $11.74

Second, do $20 - $11.74 to get your answer, $8.26

4 0
3 years ago
Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their
kicyunya [14]

Answer:

$3 max

Step-by-step explanation:

Charge= b, Customer= c, Revenue= r

r= bc, currently, r= 16*10= $160

We know that: b+1 ⇒ c-2  and the target is r ≥ 130

So, this will all be reflected as:

b=10+x ⇒ c= 16-2x

  • (10+x)(16-2x) ≥ 130
  • 160 -20x +16x - 2x² ≥ 130
  • -2x² - 4x + 30 ≥ 0
  • x² + 2x -15 ≤ 0
  • (x+1)² ≤ 4²
  • x+1 ≤ 4 (negative value not considered)
  • x ≤ 3

As we see the max increase amount is $3, when the revenue will be:

(10+3)*(16-3*2)= 13*10= $130

8 0
3 years ago
Sommer wants to buy a new car. She currently drives a car that gets 24 miles per gallon. She is contemplating buying a car that
frozen [14]

answer

$962.50

set up equation

first, we want to find out how many gallons of gas she'll save a year

x1 = gallons for old car

x2 = gallons for new car

gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon

then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved

price saved = gallons saved * price

price saved = (x1 - x2) * 3.85

gallons with old car

to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)

x1 = 15000 / 24

x1 = 625

gallons with new car

use the same process as with the old car, but with 40 miles per gallon instead

x2 = 15000 / 40

x2 = 375

plug in values

price saved = (x1 - x2) * 3.85

price saved = (625 - 375) * 3.85

price saved = 250 * 3.85

price saved = $962.50

3 0
3 years ago
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