Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was $22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?

pencil: $2

marker: $0.75

eraser: $0.5

Step-by-step explanation:

Let the prices of one pencil, one marker, and one eraser be p, m, and e, respectively.

Gloria:

8p + 4m + 6e = 22         Eq. 1

Teresa:

5p + 7m + 8e = 19.25      Eq. 2

Rebecca:

5p + 5m + 4e = 15.75       Eq. 3

Subtract Eq. 3 from Eq. 2:

2m + 4e = 3.5                Eq. 4

Multiply Eq. 2 by 8 and subtract from it Eq. 1 multiplied by 5.

       40p + 56m + 64e = 154           Eq. 2 times 8

(-)     40p + 20m + 30e = 110            Eq. 1 times 5

                  36m + 34e = 44        

                  18m + 17e = 22              Eq.5

Now use Equations 4 and 5 as a system of two equations in two variables.

Multiply Eq. 4 by 18. Subtract Eq. 5 from it.

       36m + 72e = 63

(-)     36m + 34e = 44

                  38e = 19

e = 19/38

e = 0.5

Now substitute e = 0.5 into Eq. 4 to fond m.

2m + 4e = 3.5

2m + 4(0.5) = 3.5

2m + 2 = 3.5

2m = 1.5

m = 0.75

Substitute e = 0.5 and m = 0.75 into Eq. 1 to find p.

8p + 4m + 6e = 22

8p + 4(0.75) + 6(0.5) = 22

8p + 3 + 3 = 22

8p = 16

p = 2

pencil: $2

marker: $0.75

eraser: $0.5

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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step-by-step explanation: