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Helen [10]
2 years ago
11

Two students are going to the store to buy school supplies for the new school year. One of the students buys 2 packs of pencils

and 3 packs of pens for $8.25. Her friend purchases 5 packs of pencils and 2 packs of pens for $11.00. Is there enough information to determine the cost of 1 pack of pencils and 1 pack of pens? Explain why or why not.
Mathematics
1 answer:
nadya68 [22]2 years ago
4 0

Answer:

Yes, it's enough information

Step-by-step explanation:

yes, there is enough information to determine the cost of 1 pack of pencils and 1 pack of pens

we just need an algebra of elimination and substition to find the coat of each. like this:

pencils = C

pen = N

2 C + 3 N = 8.25 (times by 2)

5 C + 2 N = 11.00 (times by 3)

------------------------- - (we eliminate the N)

4 C + 6 N = 16.50

15 C + 6 N = 33.00

------------------------- -

-11 C = - 16.5

C = (-16.5) : (-11) = $ 1.50

so the price of 1 pack of pencils is $ 1.50

now we use subtitution to find the price of 1 pack of pens

2 C + 3 N = 8.25

2 (1.50) + 3 N = 8.25

3.00 + 3 N = 8.25

3 N = 8.25 - 3.00

3 N = 5.25

N = 5.25 : 3 = $ 1.75

so the price of 1 pack of pencils is $ 1.75

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26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

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In minutes:

4 x 60 = 240 minutes

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In Hours:

4/9

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Katie walked ⅚ mile on Saturday. It took her 10 mins to walk ⅙ mile. She took 1 minute breaks in between each ⅙ mile. How long d
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it took her 54 mins to finish her walk.

Step-by-step explanation:

Given;

total distance walked by Katie, d = ⁵/₆

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There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.

Time for the first  ¹/₆ mile  = 10 mins +

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Time for the second  ¹/₆ mile  = 10 mins +

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Time for the third  ¹/₆ mile  = 10 mins +

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Time for the fourth  ¹/₆ mile  = 10 mins +

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