5 apples and 9 oranges together cost Rs 57 and 9 apples and 5 oranges together cost Rs 69. Find the cost of 3 apples and 2 oranges
Answers
Price of 3 apples = 17.9784
Price of 3 oranges = 9.12
Step-by-step explanation:
Here is the answer
Let us consider price of one apple be x and price of one orange be y
Then A/Q,
5x+9y=57 --------------------(1)
9x+5y=63 --------------------(2)
Now we will use elimination method to eliminate x from equations (1) and (2).
(1) x 9 ⇒ 45x+81y = 513
(2) x 5 ⇒ 45x+25y = 315
Now subtracting we get
81y - 25y =513 - 315
⇒65y = 198
⇒y = 198/65
⇒y = 3.04
Putting this value in (1) we get
5x+9*3.04=57
⇒5x+27.036=57
⇒5x=57-27.036
⇒5x=29.964
⇒x=29.964/5
⇒x=5.9928
Therefore price of 3 apples = 3*5.9928 = 17.9784
Price of 3 oranges = 3*3.04 = 9.12
Hope this was helpful.
"Let cost of Apple and orange b x and y.
"5x + 9y = 57 ×9
"9x + 5y = 69 ×5
"=> 45x + 81y = 513
" 45x + 25y = 345
" - - -
" 56y = 168
" y = 168/56
" y = 3
" x = 6
"the cost of 3 apples and 2 oranges = 3x + 2y
"=> 18+6
"=> Rs. 24
"HOPE IT HELPS
"PLEASE MARK ME BRAINLIEST ☺️