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nikitadnepr [17]
3 years ago
12

Customers at a gift shop bought 20 birthday cards, 25 Father's Day cards, 45 mothers day cards, and 35 thank you cards. Suppose

225 customers buy greeting cards. How many people would you expect to buy a father's day card next year?
A. 35
B. 28
C. 45
D. 100
Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

225 greeting cards

25 fathers day cards

How much would be expected to have fathers day cards be bought next year?

___________________________________________________________

Create a proportion of Fathers Day Cards bought and the amount of greeting cards bought.

\frac{45}{100} = \frac{x}{225}

You then would cross multiply, since we are finding x, let's isolate it. :

\frac{45*225}{100 * x}

10,125 = 100x

Divide both sides by 100 :

x = 101.25

We can round this to the nearest tenth, since the ones place is 1. It rounds down.

x = 100

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A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car
Artyom0805 [142]

Answer:

Therefore $98 is be charged a bus containing 30 people.

Step-by-step explanation:

Given that,

A state park charges an entrance fee based on the number of people in vehicle.

Let the entry fee for the vehicle be E and entry fee for each person be x.

Then

C= E+(P×x)

C= Total charge in $

E= entry fee for a vehicle

P=No. of person

x= Entry charge per person.

Given A car containing 2 people charged $14

C=$14, P=2

∴14= E+(2× x)

⇒E+2x=14.....(1)

Again A car containing 4 people charged $20

C=$20, P=4

∴20= E+(4× x)

⇒E+4x=20.....(2)

Subtract (1) from (2), we get

E+4x-(E+2x)= 20-14

⇒E+4x-E-2x=6

⇒2x=6

⇒x=3

Putting the value of x in equation (1)

E+(2×3)=14

⇒E=14-6

⇒E=8

Therefore E=$8 and x=$3

Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case

Here P= 8

Therefore C= E+(P×x)

                    = 8+(8× 3)

                    =8+24

                   =$32

Therefore our assumption is correct.

Now C=? , P= 30

The charged for the 30 people is

C= $[8+(30×3)]

  =$[8+90]

 =$98

Therefore $98 is be charged a bus containing 30 people.

4 0
3 years ago
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