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Sophie bought 4 apples and 3 oranges. the lady in front paid her Php 205.00 for 5 apples apples and 4 oranges. the cashier told her that an apple and an

orange coats Php 45.00 together. how much is each fruit?

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The lady in front bought 5 apples and 4 oranges. Lets represent: x=cost per apple y=cost per orange

An apple and an orange cost 45 so the equation follows as: x+y=P 45

The lady bought 5 apples and 4 oranges for P 205 5x+4y=P 205

Now lets use substitution to make the equation easier: x+y= P 45 x= P 45-y

5x+4y=P 205 Substitute the value of x 5(P 45-y)+4y= P 205 Distribute P 225-5y+4y= P 205 Add like terms P 225-y=P 205 Subtract both sides by P 225 -y=-P 20 Multiply both sides by -1 y= P 20

Substitute the value of an orange: x+y= P 45 x+ P 20= P 45 Subtract both sides by P 20 x= P 25

The value of an apple is P 25 and an orange is P 20. Hope this helps =)