UNIQUE
Mr. John went to the market to buy some oranges, apples, pears, and strawberries.He come up with his mind if how much is the price per kilo of the fruits he wants to buy would be the same as the number of kilos he would buy( say the price of apple is 15 pesos per kilo he would buy 15 kilos).The price of orange per kilo is half of the apple, and pears is half of the orange. The total amount he spent is 750 pesos. How much is the price per kilo of the strawberries?
The answer is 15.
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1 solution
Let a= apples, o = oranges, p= pears & s= strawberries a^2 +o^2 +p^2 + s^2= 750[eq. 1] O=1/2 of a, o^2=a^2 /4 p=1/2 of o, p^2= a^2 /16
a^2 +a^2 / 4 +a^2 /16 + s^2 = 750 s^2 + 21a^2 / 16= 750[eq.2]
By analyzing a is less than 30 and the amount must satisfy equation 1.
Try a= 20 and a^2 = 400 s^2=225 and s= 15
Substitute known values:
a= 20 O= 1/2(20) = 10 p= 1/2(10)= 5 s= 15
(20^2) + (10^2)+(5^2)+(15^2)= 750 750=750 Therefore the price per kilo of strawberries is 15 Pesos