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Damm [24]
3 years ago
11

Alex spends 14 days on vacation. He spends 4 out of the 14 days at the beach and half as many days visiting museums as he spends

at the beach. How many days does he spend at the beach? How many days does he spend visiting museums?
Mathematics
1 answer:
zvonat [6]3 years ago
3 0


4 days at the beach.*7 or 5* days of visiting museums.


*If you take away 4 from 14 you get 10 and halve it you get 5 but if you halve 14 you get 7*


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Artemon [7]

Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

We are told that the entire journey = 9 hours

The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

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Classwork/Homework:
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A consumer group is investigating two brands of popcorn, R and S. The percent of kernels that will pop for the population of ker
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<h3>How to calculate the difference in proportion</h3>

The table entries are given as:

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Read more about sample proportions at:

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