Which gives 28 + 24 as a product of the GCF and a sum?
1 answer:
Answer:
b. 4 (7 + 6)
Step-by-step explanation:
Finding the GCF between 28 and 24:
We keep dividing while both numbers can be divided by the same factor. So
28 - 24|2
14 - 12|2
7 - 6
There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.
Simplifying in function of the GCF:
Now, we put 4 in evidence, and divide the rest of the expression by 4. So
The answer is given by option b.
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Let us assume last year the price of the item = $x.
After increase in price by 15% the new price = x + 15% of x = x+ 0.15x = 1.15x.
There is a 25% discount for employee.
25% of 1.15x = 0.25 × 1.15x = 0.2875 x.
Price after discount = 1.15x - 0.2875 x = 0.8625x.
The employee pays $172.50.
Therefore,
0.8625x = 172.50.
Dividing both sides by 0.08625.