Question

I will give a medal :)Pizza Paradise sells pizza by the slice. For the shop’s vegan pizza, 1 slice costs $7.50. The vegan pizza slice comes from a 14 in. pizza cut into 10 congruent pieces. Mr. Bernard is adding to his menu a slice of gluten-free pizza. He plans to sell the gluten-free pizza slice for the same cost per square inch as the vegan slice. But the gluten-free slice will be from a 12 in. pizza that is cut into 8 congruent pieces. What should Mr. Bernard charge for a slice of
gluten-free pizza? Show and explain your work. Use 3.14 to approximate pi.
Answer:

Answer 1

@preetha

Answer 2

@phi @iGreen

Answer 3

any thoughts?

Answer 4

I think you have to take the radias and multiply it be it self then pie than devide by 10 for the first one

Answer 5

I'm kind of bad at math

Answer 6

math is just an excuse to practice thinking.

but your plan sounds good (as far as it goes)
we need to find the price per square inch. the first part to do that is find the area of one slice, and that is what your plan does.

what do you get for the area of 1 slice of vegan?

Answer 7

15.386?

Answer 8

ok. 1 slice is 15.386 square inches
we want $ per sq in
any ideas ?

Answer 9

I would use a ratio
\[ \frac{7.50}{15.386} = \frac{x}{1 \ sq\ in} \]

Answer 10

0.487456...

Answer 11

there is a lot of decimals

Answer 12

at the end we can round to the nearest penny.

meanwhile... what should we find next?
what are we trying to solve?

Answer 13

how much the other pizza costs

Answer 14

the other pizza costs the same per square inch.

Answer 15

so 6x6=36 36 x pi = y y/8

Answer 16

that will be the size in square inches.
then multiply by the cost per sq in, to get the price of 1 slice

Answer 17

6.92?

Answer 18

I got something close but not 6.92

Answer 19

what is it

Answer 20

what numbers did you use and what did you get? You have to show your work on this problem

Answer 21

6x6=36 36xpi=113.04 113.04/8=14.13 14.13x0.49=6.92 I rounded everything if there were decimals over the hundredth place

Answer 22

oh, ok. I would not round the price per square inch. If you don't, you get a slightly different price for the slice

Answer 23

how slightly

Answer 24

what 7.00

Answer 25

do 36*3.14*0.4875/8

Answer 26

ok but you know that it was not the full decimal right

Answer 27

we will round to the nearest penny, so if we work with 2 extra decimals, that will be good enough.

Answer 28

so 6.88

Answer 29

in other words, 0.487456128 can be rounded to 0.4875 is good enough

Answer 30

ok so 6.88 or 6.92

Answer 31

I got 6.888 which rounds to 6.89
You could then "adjust" it to 6.90 to get a round number
as long as you mention that is "close enough"

Answer 32

ok so 6.90 thanks