Concept explainers
Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. How much does each mango and each apple cost?
To find: The price of each mango and each apple by given conditions.
Answer to Problem 18P
The cost of mango is $1.5 and the cost of apple is $2.
Explanation of Solution
Given information:
The price of each mango and each apple when you got 8 mangoes and 3 apples is
$18 and 3 mangoes and 5 apples is $14.50
Calculation:
Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for
$14.50. Let us assume the cost of mango is x and the cost of apple is y .
Hence we can write the above statement in equation form as follows:
In order to solve two systems by substitution, we solve one of the equations for one
of the variables, and plug this into other equation.
As it is given that
Now we substitute
By plugging
Therefore the solution is
Therefore the cost of mango is $1.5 and the cost of apple is $2.
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