In a certain coffee shop, a large latte costs 2 dollars more than a medium latte, and a medium latte costs 2 dollars more than a small latte. If 12 small lattes cost 2x dollars, how much will 5 large and 7 medium lattes cost?
A. 2x + 24
B. 2x + 34
C. 2x + 48
D. 12x + 24
E. 24x + 3

- calculusxy

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- calculusxy

@jim_thompson5910

- jim_thompson5910

what does x represent?

- calculusxy

I don't know. That is confusing me.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- jim_thompson5910

cost of large latte? medium? or small?

- calculusxy

Can we assume that x=6?

- jim_thompson5910

where are you getting that?

- calculusxy

nvm

- jim_thompson5910

S = cost of small
M = cost of medium
L = cost of large

- jim_thompson5910

`a large latte costs 2 dollars more than a medium latte`
so L = M+2
agreed?

- calculusxy

yes

- jim_thompson5910

` medium latte costs 2 dollars more than a small latte`
using the variables I set up, what equation do you get?

- calculusxy

S = x
M = x + 2
L = 2 + (x + 2) or 4 + x

- jim_thompson5910

S = unknown (not x)
M = S + 2
L = M + 2 = (S+2) + 2 = S + 4
`12 small lattes cost 2x dollars`
12S = 2x
S = (2x)/(12)
S = x/6
`how much will 5 large and 7 medium lattes cost?`
5L + 7M = 5(S+4) + 7(S+2)

- jim_thompson5910

the next step is to plug S = x/6 into 5(S+4) + 7(S+2)

- calculusxy

so we are learning about plugging in numbers. can we work around that level?

- jim_thompson5910

you mean replacing S with some number like 7?

- calculusxy

yeah

- jim_thompson5910

how would you get to the answer? each answer has an x in it

- calculusxy

so can we like plug in 7 for x?

- calculusxy

I am really confused on this.

- jim_thompson5910

Do you see how I got 5(S+4) + 7(S+2) ?

- calculusxy

yes

- jim_thompson5910

\[\Large 5(S+4) + 7(S+2) = 5(\frac{x}{6}+4) + 7(\frac{x}{6}+2) \]
\[\Large 5(S+4) + 7(S+2) = 5(\frac{x}{6})+5(4) + 7(\frac{x}{6})+7(2) \]
\[\Large 5(S+4) + 7(S+2) = \frac{5x}{6}+20 + \frac{7x}{6}+14 \]
I'll let you simplify

- calculusxy

12x/6 + 34

- jim_thompson5910

12x/6 simplifies to ???

- calculusxy

2x

- calculusxy

THANK YOU!!!

- jim_thompson5910

so 2x+34 is the answer

- jim_thompson5910

np

- calculusxy

I have another question

- calculusxy

If \[a = 2x + 3 \] and \[b = 4d\] what is b in terms of a?
A. \[(a - 3)^2\]
B.\[2(a - 3)^2\]
C. \[\frac{ (a-3)^2 }{ 4 }\]
D. \[\frac{ (a + 3)^2 }{ 4 }\]
E. \[a + 3\]

- jim_thompson5910

b = 4d? is that a typo?

- calculusxy

Yes sorry \[b = 4d^2\]

- jim_thompson5910

and a = 2x + 3 is correct? or no?

- calculusxy

that's correct

- jim_thompson5910

I don't see how to connect a and b. They have no variables in common

- calculusxy

i have checked with many numbers none of which seems to work

- jim_thompson5910

something seems missing

- calculusxy

i will check on that with my teacher. thank you :)

- jim_thompson5910

np

Looking for something else?

Not the answer you are looking for? Search for more explanations.