Answer:
x: work a woman can do in 1 day
y: work a girl can do in 1 day
Then
2x + 7y =1/4
4x + 4y =1/3
4x + 14y =2/4 (1)
4x + 4y =1/3 (2)
=> Let (1) - (2), 10y =2/4-1/3 <=>10y = 1/6 <=> y = 1/(6x10) = 1/60 (work)
=> From (2),4x = 1/3 - 4x1/60 => 4x = 16/60 => x = 4/60 (work)
=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)
Then, the day required for a woman and a girl to complete work: 12 days
Jasmine can run in one hour is 7.25 miles.
<h3>What is the formula of unitary method?</h3>
The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
Given that,
Jasmine can run 4
miles in
of an hour.
of an hour = 4
miles
=
miles
By using unitary method we will find the value of an hour.
1 hour = 
=
× 
= 
1 hour = 7.25 miles
Hence, Jasmine can run in one hour is 7.25 miles.
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The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00
Step-by-step explanation:
Let,
Cost of one kilogram of cinnamon red hots = x
Cost of one kilogram of gummy bears = y
According to given statement;
3x+y=21 Eqn 1
3x+3y=39 Eqn 2
Subtracting Eqn 1 from Eqn 2

Dividing both sides by 2

Putting y=9 in Eqn 1

Dividing both sides by 3

The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00
Keywords: linear equation, elimination method
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