Answer:
[tex]Luke = 0.75[/tex]
[tex]Owen = 0.04[/tex]
[tex]Jacob = 2.20[/tex]
Step-by-step explanation:
Given
Model: Hundredth decimal
[tex]Luke = \frac{3}{4}th[/tex]
[tex]Owen = 4\ small\ squares[/tex]
[tex]Jacob =2\ models + \frac{2}{10}th[/tex]
Required
Determine the decimal equivalent of each boy
There are 100 squares in a hundredth decimal model
Each of the square as a value of 1/100
For Luke:
[tex]Luke = \frac{3}{4}th[/tex]
This implies that
[tex]Luke = \frac{3}{4} * 100[/tex]
[tex]Luke = \frac{300}{4}[/tex]
[tex]Luke = 75\ squares[/tex]
Multiply this by 1/100
[tex]Luke = 75 * \frac{1}{100}[/tex]
[tex]Luke = \frac{75}{100}[/tex]
[tex]Luke = 0.75[/tex]
For Owen:
[tex]Owen = 4\ small\ squares[/tex]
Multiply this by 1/100
[tex]Owen = 4 * \frac{1}{100}[/tex]
[tex]Owen = \frac{4}{100}[/tex]
[tex]Owen = 0.04[/tex]
For Jacob:
[tex]Jacob =2\ models + \frac{2}{10}th[/tex]
Add both numbers (Take LCM)
[tex]Jacob = \frac{20 + 2}{10}\ th[/tex]
[tex]Jacob = \frac{22}{10}\ th[/tex]
Multiply by 100 to get the actual number of squares
[tex]Jacob = \frac{22}{10}\ * 100\ squares[/tex]
[tex]Jacob = \frac{2200}{10}\ squares[/tex]
[tex]Jacob = 220\ squares[/tex]
Multiply by 1/100 to get the decimal equivalent
[tex]Jacob = 220 * \frac{1}{100}[/tex]
[tex]Jacob = \frac{220}{100}[/tex]
[tex]Jacob = 2.20[/tex]
