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Sophie [7]
2 years ago
13

50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how

many students did both​
Mathematics
1 answer:
Kamila [148]2 years ago
6 0

Answer:

14 students

Step-by-step explanation:

Given

Let:

b \to read a book

t \to watched TV

So, we have:

n = 50 -- total

b = 16

t = 41

none = 7

Required

Students that did both (x)

This is calculated using:

Total = Books\ only + TV\ only + Both + None

So, we have:

n = (b - x) + (t - x) + x + none

This gives:

50 = (16 - x) + (41 - x) + x + 7

Open brackets

50 = 16 - x + 41 - x + x + 7

50 = 16 - x + 41 +7

Collect like terms

x = 16 - 50 + 41 +7

x = 14

<em>Hence, 14 students did both</em>

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A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On averag
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The clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

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To solve the problem, we must:

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1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48, 30-minutes in a day. On Friday, however, we start counting at noon, which is half of the day. Moreover, on Monday, the mark is only up to 6 pm, which is three-fourths of the day.

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Divide the number of total seconds late by the number of 30-minutes passed.

That is, the number of total seconds late= 468 seconds ÷ 156

= 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

To learn more about clock problems visit:

brainly.com/question/27122093.

#SPJ1

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