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If x + y = $22 and the price of x was 20% higher than the price of y, what does y equal?

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dingo777 | Student, Grade 9 | eNotes Newbie

Posted September 24, 2009 at 8:24 AM via web

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If x + y = $22 and the price of x was 20% higher than the price of y, what does y equal?

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Top Answer

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albana | Student, Undergraduate | eNotes Newbie

Posted September 24, 2009 at 8:32 AM (Answer #1)

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x=12 , y = 10

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neela | High School Teacher | (Level 3) Valedictorian

Posted September 24, 2009 at 10:46 AM (Answer #2)

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x+y=$22.......... (1)

x is 20% higher than the price, y. This means x is (20% of y)+y or x=(20/100)*y + y= (0.2+1)y=1.2y or

x=1.2y .............(2)

(1) and (2) are the two simultaneous equations which can be solved either by substitution method or by elimination method. We use thesubstitution method.

Therefore, the equaion x+y=$22 could be writtten using x=1.2 like:

1.2y+y=$22 or

2.2y=$22 or

y=$22/2.2=$10, the required solution.

Therefore, y=$10 is the required solution

Now,put y=10 in (2) to get the value of x:

x=1.2y =1.2*$10=$12.

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krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted September 24, 2009 at 10:49 AM (Answer #3)

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The first answer given above is correct, but the method of arriving at the answer is not given. The following method can be used for solving all problems of this type.

Solution:

Given that x + Y = 22   ... (1)

and that X is 20% higher than price of y.

Therefore x = y + (20% 0f Y) = y + y*(20/100) = 1.2Y

Substituting this value of x in equation (1) we get:

1.2y + y = 22

Therefore: 2.2Y = 22

Therefore: Y = 22/2.2 = 10

Substituting this value of y in equation 1 we get

x +10 = 22

Therefore: x = 22 - 10 = 12

Answer: X = 12$ and y = 10$

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campbelh | High School Teacher | (Level 1) Adjunct Educator

Posted September 29, 2009 at 10:03 AM (Answer #4)

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x+y=22

x= y + .2y

y + (y + .2y)= 22

2.2y = 22

y = 10 dollars

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Wiggin42 | Student, Grade 11 | (Level 2) Valedictorian

Posted March 23, 2014 at 6:07 PM (Answer #5)

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If x + y = $22 and the price of x was 20% higher than the price of y, what does y equal? 

Here are the equations we have: 

x + y = 22

1.2x = y 

since we want y: 

(y/1.2) + y = 22

y = 10

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