1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
3 years ago
15

For and event i made 72 dessert plates, each containing the same number of pastries. I didn't need that many plates so i removed

12 plates, and redistributed the pastries, which meant that each remaining plate received two more pastries. How many pastries were on each plate to start with?
Mathematics
1 answer:
Vaselesa [24]3 years ago
5 0
<h3>Answer:  10</h3>

=================================================

Work Shown:

x = starting number of pastries per plate

72x = total number of pastries

The total number of pastries is a multiple of 72.

If we take 12 plates away, then we have 72-12 = 60 plates left. Redistributing the pastries from those 12 plates, to the other 60, leaves us with no left over pastries (we get a remainder 0). This means that 72x must also be a multiple of 60 as well.

Let's find the LCM (lowest common multiple) of 60 and 72

First find the prime factorization of each:

60 = 2*2*3*5

72 = 2*2*2*3*3

We have the unique factors: 2, 3, 5

2 shows up at most 3 times, so 2^3 is one factor of the LCM

3 shows up at most 2 times, so 3^2 is a factor of the LCM

5 only shows up one time, so 5^1 is a factor of the LCM

The LCM is 2^3*3^2*5 = 8*9*5 = 360

-------------------------------

Now we know that the total number of pastries must be a multiple of 360 in order to have 72x be a multiple of 60.

Divide 360 over 72 and 60 to get 360/72 = 5 and 360/60 = 6. We see that the number of pastries per plate has gone up by 1. We want it to go up by 2

Let's try the next multiple of 360

Divide 720 over 72 and 60 to get 720/72 = 10 and 720/60 = 12. The jump from 10 to 12 means we have two more pastries per plate. We found the answer.

-----------------------------

Summary:

  • 720 pastries total
  • when there are 72 plates, each plate gets <u>10 pastries</u>
  • when there are 60 plates, each plate gets 12 pastries
You might be interested in
Ama bought 12 eggs at $1.10 each. If 3 of the eggs got broken and sold the remaining at $1.45 each, calculate the
kkurt [141]

Answer:

1.1%

Step-by-step explanation:

cost price=1.10×12

=$13.20

selling price=(12-3)×1.45

=9×1.45

=$13.05

loss= cost price-selling price

=13.20-13.05

=0.15

loss percent=0.15/13.20×100

1.13636

1.1%

Please rate brainliest

4 0
2 years ago
Find the area of this parallelogram. be sure to include the correct unit in your answer
gulaghasi [49]

Answer:

84ft

Step-by-step explanation:

The formula to find the area of a parallelogram is b x h.

The base is 14ft and the height is 6ft. Multiply these together.

14 x 6 = 84ft

6 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!! VERY CONFUSED AND I NEED THIS VERY BADLY!!!!!! I appreciate the help!!!!
maksim [4K]

Answer:

hey you forgot the picture this time bud

4 0
2 years ago
Y = 6x + 4<br> y= - 6x + 4<br> How many solutions does the system of equations have?
kvv77 [185]

Answer:

1 solution

Step-by-step explanation:

6 0
3 years ago
Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play vo
Setler79 [48]

Answer: 3/20 of the class

Step-by-step explanation:

Add the amount of students that play soccer to amount of students that play volleyball

1/4 + 3/5 = 17/20

Subtract 17/20 (soccer and volley ball) from 20/20 or 1

20/20 - 17/20 = 3/20

7 0
3 years ago
Other questions:
  • The area of the rectangular flowerbed is 20.4 square meters with a length of 12 square meters. How many meters of edging are nee
    11·2 answers
  • A box of crackers costs 0.26 .if the box contains 10 ounces , what is the cost of the box of crackers
    7·2 answers
  • Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)
    13·1 answer
  • Simplify the following expression.<br> 32a3.2<br> Bas 2
    5·1 answer
  • Please help need help
    8·1 answer
  • Question 27 (1 point)
    9·1 answer
  • Need help on number six
    15·1 answer
  • Please help please help please help please help please help please help look at the thingy pls help
    11·1 answer
  • Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.
    7·2 answers
  • Please solve the following question.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!