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poizon [28]
3 years ago
14

Steve has 50 notebooks with red covers but only 40 notebooks with blue covers. If he uses up 6 notebooks with red covers and 4 w

ith blue covers each month, in how many months will he have the same number of red as blue notebooks?
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

Answer:

5 months

Step-by-step explanation:

The first thing to do is to obtain the difference between the two numbers of colored books, 50 and 40.

50 - 40 = 10 notebooks.

We need to calculate how long it will take for this difference to disappear, noting that Steve uses more of the red cover notebooks every month. The difference on a monthly basis is

6 - 4 = 2 notebooks per month

So, now the number of months will be gotten from;

Number of months = \frac{Total Difference}{Monthly Difference}

Number of months = \frac{10}{2} = 5 months

We can check for this,

After 5 months, Steve would have used 5 × 6 red cover notebooks = 30

and 5 × 4 blue cover notebooks = 20

The remaining number of books will be:

RED: 50 - 30 = 20 red cover notebooks

BLUE: 40 - 20 = 20 blue cover notebooks.

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Step-by-step explanation:

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Given:

32 and 28 are the two numbers.

To find:

(a) The GCF of 32 and 28.

(b) Using the GCF, find the factor of (32-28).

Solution:

(a)

The factor forms of the given numbers are:

32=2\times 2\times 2\times 2\times 2

28=2\times 2\times 7

It is clear that, 2 and 2 are the common factors in both.

GCF(32,28)=2\times 2

GCF(32,28)=4

Hence, the GCF of 32 and 28 is 4.

(b)

Using the GCF we need to find the factor of (32-28).

32-28=4\times 8-4\times 7

Taking out the GCF, we get

32-28=4\times (8-7)

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2 years ago
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