lheiannie07 wrote:Papayaya, a popular soft drink, contains only four ingredients. Soda water comprise 4/7 of Papayaya and natural lemon juice makes 1/3 of Papayaya. The amounts of sugar and papaya puree in Papayaya are equal. Due to a malfunction, the mixing machine mixes double the regular amount of lemon juice and three times the regular amount of papaya puree. If no other changes were made to the relative quantities of the ingredients, what is the fractional portion of soda water in the drink that comes out of the malfunctioning machine?
A. 7/30
B. 7/21
C. 2/5
D. 12/29
E. 4/7
Recipe:
Soda = 4/7.
Lemon = 1/3.
Remainder = 1/2 sugar, 1/2 puree.
Let the total recipe = the LCM of 7, 3 and 2 = 42.
Original values:
Soda = (4/7)(42) = 24.
Lemon = (1/3)(42) = 14.
Remainder = 42-24-14 = 4, implying that sugar = 2 and that puree = 2.
After the malfunction:
Lemon doubled = 2*14 = 28.
Puree tripled = 3*2 = 6.
Soda unchanged = 24.
Sugar unchanged = 2.
New total = 28+6+24+2 = 60.
Resulting fraction:
soda/(new total) = 24/60 = 2/5.
The correct answer is
C.
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