SOLUTION: You can now purchase 5 more mangoes with $75 because of reduction in price by 20%. calculate the current price of one dozen of mangoes.

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Question 1011349: You can now purchase 5 more mangoes with $75 because of reduction in price by 20%. calculate the current price of one dozen of mangoes.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the old price per mango was p and you could buy x mangoes for
$75 at the old price.  Then

xp = 75

The price per mango was reduced by 20%, therefore the new price 
per mango is only 80% of the old price per mango, or 0.8p
and now x+5 mangos can be bought for $75, so 0.8p(x+5) = 75

So the system of equations is

system%28xp=75%2C0.8p%28x%2B5%29=75%29

Solve that and get the old price p = $3.75,   and the number
of mangoes x = 20 that you formerly could buy for $75.

The new price per mango is now .80($3.75) = $3

So a dozen mangoes now costs 12($3) or $36.

Edwin