Answer:
Hey there!
Let x be the price of lipstick
Let 1/2x be the price of shampoo
1.5x=20
x=13.33
1/2x=6.67
The shampoo costed $6.67, and the lipstick costed $13.33
Let me know if this helps , or if you have any more questions :)
Explanation:
A "common denominator" is the least common multiple (LCM) of the denominators of the rational expressions involved. As such it can be found as the product of the unique factors of those denominators, each to its highest power.
For example, the common denominator for fractions with denominators of 20 and 25 will be 100. It can be found by considering the factors ...
20 = 2² × 5
25 = 5²
The unique factors here are 2 and 5, each with a highest power of 2. The product of these unique factors to their highest powers is ...
2²·5² = 4·25 = 100.
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Using this method of finding the LCM, it is essential that we know the factors of the numbers.
The LCM can also be found as the product of the numbers, divided by their greatest common factor (GCF). For this method, too, you need to know factors of the numbers involved--or, at least, the greatest common factor.
For the above example numbers, the GCF is 5, so their LCM is ...
20·25/5 = 500/5 = 100
If you divide you will get and measurement of 19 :)
First, you have to multiply 12×24.50=$360.00. Next, you have to subtract 372.75-360.00=12.75. Then, you have to divide 12.75÷5=$2.55. So in conclusion, each lightsaber costs $2.55.
