Question

I have 2 questions! I need them answered and explained! I will fan and medal!

Answer 1

@DangerousJesse

Answer 2

What are your questions?

Answer 3

Alright, The first one, is this:

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notebooks and 5 new memo books is 810. Write a system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book.

Answer 4

I am completely stumped.

Answer 5

s = m + 30
3s + 5m = 810

Answer 6

(where s - spiral notebook, m - memo book)

Answer 7

Oh! Thank you! Is that the explanation? : O

Answer 8

I read the problem and set the equations as I read.

Answer 9

I know that:
`spiral notebook contains 30 more sheets of paper than memo book. `
OR, `"s" is 30 more than "m"`
And that means that you would have to add 30 (papers) to "m" to make it equivalent to "s". And this can be written as: s=m+30

Answer 10

That is my first equation (s=m+30)

Answer 11

`The number of papers in 3 spiral notebooks and 5 memo books is 810.`

The number of papers in one spiral notebook is "s"
So, the number of papers in 3 spiral notebooks is "3s"

The number of papers in one memo book is "m"
So, the number of papers in 5 memo books is "5m"

So, you therefore set,
`3s + 5m = 810`

Answer 12

and thus, I have obtained my system of equation
s=m+30
3s + 5m = 810

Answer 13

Oh! That makes sense! Thank you very much! I have one more question, and then I'll be off ^u^

Answer 14

At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90. The system of equation
{ 3𝑗 +5𝑝 = 7.60
𝑗 +2𝑝 = 2.90
represents this situation, where j represents the cost of a glass of orange juice and p represents the cost of a pancake special. What would be the bill for one glass of orange juice and one pancake special? Show all work carefully!!

Answer 15

What are the full instructions, to write the system of equation to the problem, or to also solve the system after writing it?

Answer 16

Well, I would go with solving it after writing it, to be safe. I want to thank you again for helping me! ^u^

Answer 17

your system for this (last) problem, is correct.
Just letting you know and confirming...

Answer 18

One way I would solve the system #1 is...

Answer 19

s = m + 30
3s + 5m = 810

s - m = 30
3s + 5m = 810

5s - 5m = 150
3s + 5m = 810
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8s + 0 = 960
8s=960
s=120

Answer 20

and then use that to solve for s.

Answer 21

AH! Thank you so much!