Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for<em> k </em>should be 10, such that LCM o<em>f k</em> and 6 is 60.
Hence, the smallest value of k is 10.
The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.
<h3>Simultaneous equation</h3>
let
- Number of decorative pillows for twin bed = x
- Number of decorative pillows for queen bed = y
x + y = 15
2x + y = 21
From equation (1)
x = 15 - y
- Substitute x = 15 - y into (2)
2x + y = 21
2(15 - y) + y = 21
30 - 2y + y = 21
- 2y + y = 21 - 30
-y = -9
y = 9
Substitute y = 9 into
x + y = 15
x + 9 = 15
x = 15 - 9
x = 6
Learn more about simultaneous equation:
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Step-by-step explanation:
80+60+x+51= 180
191+x= 180
x= -11