From the given statement the unknown number is found to be - 1
The given statements can written in algebraic form as follows;
the unknown number = x
the number is multiplied by 6 = 6x
four less than twice the same number = 2x - 4
then, from the given statement the final equation equation becomes;
6x = 2x - 4
This unknown number can be solved by collecting similar terms together;
6x - 2x = -4
4x = -4
divide through by 4
Thus, the unknown number is - 1
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Do 4 times $15 and 5 times $9. Add both of the answers together. That is the total cost.
Change the left side to improper fractions.
9
--
4
====
3
--
2
Now use the fraction rule. Invert the denominator and multiply that by the numerator.
9 2
== * ==
4 3
18/12 = 3/2 which for now is left alone.
Now work with the fraction on the right side.
1 5/6 = 11/6
Now equate the two results
27/8 = 11/6 // x/1
Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2
18 x = 22
18 x = 22
x = 11/9
x = 1.2222
What are the choices or are there any? The other choice is x = 1.2222
x = 22/18 or
x = 1.22222222 or
x = 11/9
All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.
Check
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.
You can get all the answeres easily.
Heres number 1: -1/5
