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Damm [24]
3 years ago
13

The number of pies sold by the Chipper Bakery is 3/4 of the number of cookies sold by the Yummy Cookie Company. If both the busi

nesses sell 16 more items, the Chipper Bakery will have sold 5/6 of the number of items sold by the Yummy Cookie Company. How many cookies has the Yummy Cookie Company currently sold?
Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

Number of cookies sold by the Yummy Company = 32.

Step-by-step explanation:

Let the number of cookies sold by the yummy company be x.

Then the number of pies sold by The Chipper Bakery is 3/4 x.

When they have 16, more we have:

Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)

So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)

= 7/4 x  + 32 =  11/6 x + 16 + 80/6

7/4 x - 11/6x = 16 + 80/6 - 32

-1/12 x = -2 2/3

x = -8/3 * -12

x = 32.

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3 years ago
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7 0
2 years ago
The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i
AfilCa [17]

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

  • Both triangles are identical
  • Both rectangles are different
  • There are values in units^2 given
  • There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation                                                 A = 1/2(bh)

Substitute                                                           A = 1/2(4*3)

Simplify                                                               A = 1/2(12)

Solve                                                                   A = 6

Double                                                                     *2

                                                                           A = 12 u^2

Rectangles

Set up equation                                                 A = lh

Substitute                                                           A = (14)(3)

Simplify                                                               A = 42 u^2

Set up equation                                                 A = lh

Substitute                                                           A = [14-(4+4)](3)

Simplify                                                               A = (14-8)(3)

Simplify                                                               A = (6)(3)

Multiply                                                               A = 18 u^2

Total Area

Set up equation                                                 A = R1+R2+T

Substitute                                                           A = 42 + 18 + 12

Simplify                                                               A = 60 + 12

Solve                                                                   A = 72 u^2

<h3>Answer: 72 u^2</h3>
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