SOLUTION: 5 oranges and 2 apples cost 61 pesos ; one orange and 4 apples cost 41 pesos . How much do an orange and an apple cost?

Question 558858: 5 oranges and 2 apples cost 61 pesos ; one orange and 4 apples cost 41 pesos . How much do an orange
and an apple cost?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
oranges pesos x
apples pesos y

5 x + 2 y = 61 .............1
1 x + 4 y = 41 .............2
Eliminate y
multiply (1)by -2
Multiply (2) by 1
-10 x -4 y = -122
1 x 4 y = 41
Add the two equations
-9 x = -81
/ -9
x = 9
plug value of x in (1)
5 x + 2 y = 61
45 + 2 y = 61
2 y = 61
2 y = 16
y = 8.00
oranges pesos 9
apples pesos 8
m.ananth@hotmail.ca

RELATED QUESTIONS
Five oranges and an apple cost php87 , five apples and one orange cost php 99 . How much... (answered by macston)

2 oranges and 5 apples cost $2.50 3 oranges and 4 apples cost $2.70 find the cost of... (answered by Paul)

if 7 apples and 2 oranges costs 114 while 6 apples and 4 oranges cost 132, how much does... (answered by josgarithmetic,lwsshak3)

If 5 apples and 4 oranges cost $3.40 while 7 apples and 6 oranges cost $4.90.Find the... (answered by prabhjyot)

5 apples and 3 oranges cost $3.50 and 4 apples and 5 oranges cost $4.10. How much does... (answered by advanced_Learner)

four oranges and five apples cost $2:00. three oranges and four apples cost $1.56. find... (answered by mananth)

If 4 apples and 2 oranges equal $1 and 2 apples and 3 oranges equal $0.70, how much does (answered by ikdeep)

If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.75, how much... (answered by nyc_function)

If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much... (answered by ankor@dixie-net.com)