SOLUTION: A boy bought 2 oranges, 3 pears and 4 apples, for 22 cents. He gave as much for a pear as for 2 apples; and twice as much for an orange, as for a pear and an Apple. What was the pr

Question 1078972: A boy bought 2 oranges, 3 pears and 4 apples, for 22 cents. He gave as much for a pear as for 2 apples; and twice as much for an orange, as for a pear and an Apple. What was the price of each?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
apple, 1 cent each
orange, 6 cent each
pear, 2 cent each
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the price in cents of an orange
Let = the price in cents of a pear
Let = the price in cents of an apple
---------------------------------
(1)
(2)
(3)
------------------------------
There are 3 unknowns, so 3 equations are given
Substitute (2) into (3)
(3)
(3)
(3)
-----------------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
------------------
The price of an orange is 6 cents
The price of a pear is 2 cents
The price of an apple is 1 cent
--------------------------------
check answers:
(1)
(1)
(1)
(1)
You can check (2) and (3)

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