Question

Someone please help me

Answer 1

John and 2 friends are going out for lunch. They split one pizza and each had a large drink. He determined that the cost of three drinks plus $3.00 is only $1.55 less than the cost of a pizza. A pizza is six and one-half times the cost of one drink. What was the total cost of the meal before sales tax?

Answer 2

The first step is give a "name" (a letter) to the unknowns.
how about
d is the cost of drink
p is the cost of a pizza

Answer 3

now translate
cost of three drinks plus $3.00 is only $1.55 less than the cost of a pizza.
into "math"

cost of three drinks becomes 3* d or 3d
plus $3.00 becomes +3
is becomes =
$1.55 less than becomes -1.55 +
cost of a pizza becomes p

or, in a line
3d +3 = -1.55+p

Answer 4

Can you try
A pizza is six and one-half times the cost of one drink.

?

Answer 5

3d+3=-1.55+6.5

Answer 6

almost. but first, just concentrate on
A pizza is six and one-half times the cost of one drink.

Answer 7

A pizza becomes ?

Answer 8

d=0.65

Answer 9

0.65(6.5)

Answer 10

4.225

Answer 11

is it like that?

Answer 12

I have not solved the problem yet. I am still working on changing
A pizza is six and one-half times the cost of one drink.

into "math"

Answer 13

A pizza is six and one-half times the cost of one drink.
means

cost of a pizza (what name did we give it?)
is means =
six and one-half (write this as a decimal number)
times (means multiply)
cost of a drink (what name did we give it ?)

Answer 14

i still do not get it

Answer 15

@mathmale

Answer 16

Can you please help me ?

Answer 17

I'm making sure I can solve this myself before getting involved. I think I have it, though. Please wait just a few minutes. Phi is highly competent, so I'd urge you to review what he has already shared with you and write down whatever he has said that might help you with this question. I'll be back in a few minutes.

Answer 18

Ok thank you

Answer 19

Dan, what I'm going to do is lead you through this problem really quickly, without explaining much. If and when we get the correct values for d and p, then we can discuss the method as much as you like, ok?

Answer 20

John and 2 friends are going out for lunch. They split one pizza and each had a large drink. He determined that the cost of three drinks plus $3.00 is only $1.55 less than the cost of a pizza. A pizza is six and one-half times the cost of one drink. What was the total cost of the meal before sales tax?

Answer 21

Just want to be sure you're with me before I proceed.

Answer 22

I am here

Answer 23

Daniel:
Let d represent the cost of all three drinks.
d + 3 would be "the cost of three drinks, plus an additional $3.

Hold that a moment.
let p represent the cost of one pizza (which the guys share).
$1.55 less than that is p=$1.55.

Left side = right side of equation
cost of 3 drinks, plus $3 = cost of pizza, less $1.55

d+3 = p-1.55


that's our first equation.

Answer 24

Would you please write that down. Let me know when you're done writing it down.

Answer 25

Daniel, ready to proceed?

Answer 26

yes sir

Answer 27

Now the second part of the problem statement says, "A pizza is six and one-half times the cost of one drink." But because our " d " represents the costs of all 3 drinks, we write,

\[p=6.5\frac{ d }{ 3 }\]

Answer 28

this is probably the more abstract part of this question. But let's move forward.

Substitute p = (6.5/3)d into the other equation. You should get

d+3=(6.5/3)d -1.55

Are you able to solve this for d?

Hint: mult. every term by 3 to get rid of the fraction 6.5/3.

Answer 29

Ok I´ll do it

Answer 30

3.9

Answer 31

?

Answer 32

That's the same result I got. Sounds good.

3.9 is the value of d, and we defined d as the cost of 3 drinks. Therefore, each drink is $3.90/3, or $1.30 each. Sounds about right, doesn't it?

Answer 33

Daniel, we are told that the cost of a pizza is 6.5 times the cost of one drink.

Please multiply $1.30 by 6.5. That comes out to .... what dollar amount?

Answer 34

$8.45

Answer 35

Same here. Looks like we've solved the problem: the cost of one drink is $1.30, and the cost of the one whole pizza is $8.45. It'd cost more today at Pizza Hut, but these prices were pretty reasonable 5-10 years ago.

Answer 36

Jajaja thank you again

Answer 37

I would strongly suggest checking our results. But I do think we're correct.

Now let's go back to setting up the problem. I told you I'd go thru the calculations fast (so as not to overwhelm you with explanations at first), and try to come up with the answers. We've done that.

Do you feel the need to discuss setting up the equations further, for a better undrstanding?

Answer 38

" the cost of three drinks plus $3.00 is only $1.55 less than the cost of a pizza"
becomes 3d + 3 = p - 1.55
***where d=cost of ONE drink***

" A pizza is six and one-half times the cost of one drink" becomes p=6.5d.

that's it. 2 equations in 2 unknowns.

Answer 39

It wasn´t as hard as I was thinking

Answer 40

I'm glad you now see it that way. Are you satisfied, or should we discuss setting up the equations one more time? Your call.

Answer 41

I got it thanks

Answer 42

I'm glad! Hasta la vista!