SOLUTION: A 6-inch personal pizza has 610 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14-inch pizza. Hint...

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A 6-inch personal pizza has 610 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14-inch pizza. Hint...      Log On


   



Question 1184649: A 6-inch personal pizza has 610 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14-inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem.. DO NOT SOLVE BY PIECE.
calories
Round your answer to the nearest calorie.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!




The 6 inches and 14 inches are (presumably!) the diameters of the two pizzas.
A%5B6%5D=+pi%2Ar%5E2
r=3
A%5B6%5D=+pi%2A37%5E2
A%5B6%5D=+9pi

A%5B14%5D=+pi%2Ar%5E2
r=7
A%5B14%5D+=+pi%2A7%5E2
A%5B14%5D+=+49pi

6 inch personal pizza has+610 calories
A%5B6%5D%2FA%5B14%5D=610%2Fx
9pi%2F49pi=610%2Fx
9%2F49=610%2Fx
9x=610%2A49
9x=29890
x=29890%2F9
x=3321.11->the number of calories in the 14 inch pizza

Then divide by 8 to get the number of calories in each slice.

3321.11%2F8=415.14
nearest whole number of calories in each slice+415



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