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Answer:
#1. 408% of 568
We get two equations from this
408% = x
568 = 100%
568/x=100%/408%
Solve and you'll get
408% of 568
=2317.44
2. New - Original = % change
712500 - 950000 = -237500
3. 10 at $1, 7 at $5
4. 2.2 lb. of raisins, 7.8 lb. of nuts
As per the given conditions we have
1. Number which is 408% of 568 is equals to 2317.44 ( nearest hundredth).
2. Total decrease in percentage of the population of Detroit is equals to 25%.
3.Cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.
4. Raisins is equals to 2.2 pounds and nuts is equals to 7.8 pounds for the trail mix.
What is equation?
" Equation is defined as the relation between the variables using sign of equality."
What is percentage?
" Percentage is defined as the hundredth part of the given number."
According to the question,
1. 'x' represents the number
As per given condition,
x = 408% of 568
⇒ [tex]x= \frac{408}{100} (568)[/tex]
⇒ [tex]x = 2317.44[/tex]
Therefore, the number which is 408% of 568 is equals to 2317.44.
2. Total population of Detroit = 950,000
Population after 10 years = 712,500
Decrease in population = 950,000 - 712,500
= 237,500
Total percentage decrease in population = [tex]\frac{237500}{950,000}(100)[/tex]
= 25%
Therefore, total decrease in percentage of the population of Detroit is equals to 25%.
3. 'x' represents the bill of $1
'y' represents the bill of $5
As per the condition given equation we have,
$1x + $5y = $45 ______(1)
x = y + 3 ______(2)
Substitute the value of equation (2) in (1) we get,
[tex]1(y + 3) + 5y = 45\\\\\implies 6y = 45-3\\\\\implies y \frac{42}{6} \\\\\implies y = 7[/tex]
Substitute the value y in (2) we get,
[tex]x= 7 + 3\\\\\implies x =10[/tex]
Therefore , cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.
4. 'x' represents the pounds of raisins
'10- x ' represents the pounds of nuts
Cost of trail mix from raisins and nuts per pound = $6.96
Therefore,
Cost of 10 pounds of trail mix of raisins and nuts = $(6.96 ×10)
= $69.6
Cost per pound of raisins = $3.45
Cost per pound of nuts = $7.95
Equation formed as per given condition we get,
[tex]3.45x + 7.95(10-x) = 69.6\\\\\implies 3.45x + 79.5 -7.95x = 69.6\\\\\implies -4.5x = 69.6 - 79.5\\\\\implies-4.5x= -9.9\\\\\implies x =\frac{9.9}{4.5}\\ \\\implies x = 2.2 pounds[/tex]
Pounds of raisins = 2.2pounds
Pounds of nuts = 10 - 2.2
= 7.8 pounds
Therefore, pounds of raisins is equals to 2.2 and pounds of nuts is equals to 7.8 for the trail mix.
Hence, As per the given conditions we have
1. Number which is 408% of 568 is equals to 2317.44 ( nearest hundredth).
2. Total decrease in percentage of the population of Detroit is equals to 25%.
3.Cash box contain bill of $1 is equals to 10 and bill of $5 is equals to 7.
4. Raisins is equals to 2.2 pounds and nuts is equals to 7.8 pounds for the trail mix.
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