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alina1380 [7]
3 years ago
7

Mr.Adams had 24 guests at his house for a party. Each guest brought one item. One-third of the guest bought drinks, one-fourth o

f the guest brought dessert, the rest brought chips. How many guest brought drinks?
Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

8 guests brought drinks

Step-by-step explanation:

Given;

- 24 guests total

- 1/3 brought drinks

- 1/4 brought dessert

- rest brought chips

Find;

- how many brought drinks

To solve this problem, all one has to do is multiply the fraction of guests who brought drinks by the total amount of guests.

1/3 * 24

= 8

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Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
\frac{BC}{CD} =  \frac{CA}{CE} =  \frac{AB}{ED}

W e have:
BC = 20 - x
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CD = x
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Substitute in the above proportionality and solve for x as follows:
\frac{20-x}{x} =  \frac{20}{5} = 4

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)
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