a. The amount that each invested is: Nick $21,900; Matt $51,100.
b. Percent of the business owned by Matt is 70%.
a. Amount invested by each
First step is to calculate the total parts
Total parts=3x + 7x
Total parts=10x
Second step is to calculate the cost per part(x)
Cost per part(x)=73,000/10
Cost per part(x)=7,300
Third step is to calculate the money invested by Nick and Matt
Money invested by Nick=3x
Money invested by Nick=3×7,300
Money invested by Nick=$21,900
Money invested by Matt=7x
Money invested by Matt=7×7,300
Money invested by Matt=$51,100
b. Percent owned by Matt
Using this formula
Percent owned by Matt =Part owned by matt/Total part
Let plug in the formula
Percent owned by Matt =7x/(3x+7x)
Percent owned by Matt=7x/10x
Percent owned by Matt=0.7×100
Percent owned by Matt =70%
Inconclusion the amount that each invested is Nick $21,900; Matt $51,100 and the percent of the business owned by Matt is 70%.
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