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lord [1]
4 years ago
14

.55 of a box of chocolate are dark chocolate,0.3 are milk chocolate and the rest are white chocolate. There are 138 pieces more

dark chocolate than white chocolate. How many pieces of chocolate are there in the box?
Mathematics
1 answer:
lyudmila [28]4 years ago
3 0

Answer: there were 345 pieces of chocolate in the box.

Step-by-step explanation:

Let x represent the number of pieces of chocolate there in the box.

0.55 of a box of chocolate are dark chocolate. This means that the number of dark chocolate in the box is 0.55x

0.3 are milk chocolate. This means that the number of milk chocolate in the box is 0.3x

The rest are white chocolate. This means that the number of white chocolate in the box is x(1 - 0.55 - 0.3) = 0.15x

There are 138 pieces more dark chocolate than white chocolate. This means that

0.55x - 0.15x = 138

0.4x = 138

x = 138/0.4

x = 345

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You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard.  If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
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The area of the backyard is 216 square yards.
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4 years ago
What is the missing justification?
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(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)

Now,  

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