ANSWER THE FOLLOWING QUESTION:-
Form a pair of linear equations for each of the following problems and find their solution The ratio of incomes of two persons is 10 : 45 and the ratio of their expenditures is 3:3. If each of them manages to save 4500 per month then find their monthly income.
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Answers
Carlos mixed 2/10 liters of Orange Juice with 1/8 liters of Pineapple Juice.
Determine a reasonable estimate of the total amount of juice Carlos mixed.
Choose 1 answer:
A: Less than 1/2 Liters
B: More than 1/2 Liters but less than 1 Liter
C: More than 1 Liter
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Answer:
Let the income of first-person be Rs 9x and the income of the second person be Rs. 7x. Further, let the expenditures of the first and second person be 4y and 3y respectively. Then,
Saving of first-person =9x−4y
Saving of second person =7x−3y
∴9x−4y=200⇒9x−4y−200=0 (i)
and, 7x−3y−200⇒7x−3y−200=0 .(ii)
Solving equation (i) and (ii) by cross-multiplication, we have
(−4×−200)−(−3×−200)
x
=
(−200×−9)−(−200×−7)
−y
=
(9×−3)−(7×−4)
1
800−600
x
=
−1800+1400
−y
=
−27+28
1
⇒x=200 and y=400
Thus, monthly income of first person =Rs. 9x= Rs. (9×200)= Rs. 1800
and, monthly income of second person =Rs. 7x=Rs. (7×200)=Rs. 1400.
Step-by-step explanation:
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