# math

posted by .

Mr.Hash bough some plates at a a yard sale. After arriving home he found that 2/3 of the plates were chipped, 1/2 were cracked, 1/4 were both chipped and cracked. Only 2 plates were w/o chips or cracks. How many plates did he buy in all?

• math -

Suppose there were p plates. If you count both the ships and the cracks, then you count chipped&cracked twice.

p - 2p/3 - p/2 + p/4 = 2

12p - 8p - 6p + 3p = 24
p = 24

So, 16 were chipped
12 were cracked
6 both
2 undamaged

• math -

36

## Similar Questions

1. ### Math

Ray is setting the table for a birthday diner.He needs to set 12 places at a round table.he has 3 different kinds of plates:white plates; blue plates; and gold plates.How can he set the table so that no two of the same kind of plates …
2. ### physics

Two large circular metal plates are parallel and nearly touching, only 4.1 mm apart. The two plates are connected to the opposite terminals of a 9 V battery. (a) What is the average electric field strength in the space between the …
3. ### physics

An electron in a computer monitor enters midway between two parallel oppositely charged plates. The initial speed of the electron is 6.15 x 10^7 m/s and its vertical deflection is 4.70 mm. (a) What is the magnitude of the electric …
4. ### Physics

A parallel-plate capacitor is constructed from two circular metal plates or radius R. The plates are separated by a distance of 1.2mm. 1. What radius must the plates have if the capacitance of this capacitor is 1.1 uF?
5. ### math

Mr Hash bought some plates at a yard sale. After arriving home he found that 2/3 of the plates were chipped, 1/2 were cracked, 1/4 were both chipped and cracked only 2 plates were w/o chips or cracks. How many plates did he buy in …
6. ### math

if you are making 34 trophies plates that 3 1/4" long and 1" wide what size sheet of brass would be needed if plates are aligned with 2 plates per horizontal line
7. ### Math - Fractions

Susan has p clean plates. After using 2/3 of the clean plates for a dinner party, Susan used 1/5 of the remaining plates to store the leftovers. In terms of p, how many plates are still clean and unused?
8. ### MATH

A conveyor belt sushi restaurant lets you choose what you want to eat from variously-coloured plates that go by. You pay based on the colours of the plates. After dinner, 1 green plate, 4 yellow plates, and 2 blue plates. Use the Fundamental …
9. ### Go Math grade 6

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen …
10. ### Physics

Electrons in a narrow beam travelling at a steady speed of 5 x 10^7 ms^-1 are directed into the space between two oppositely charged parallel plates 50mm apart. The potential difference between the plates is 2500V. The initial direction …

More Similar Questions