Question 73401

Let x=amount of time it takes for Kay and Sis to eat 32 pieces of candy

Now we know that:
Kay eats candies at the rate of 32 candies per hour. 
Sis eats candies at the rate of 32/3 candies per hour. 

Kay and Sis together can eat: 32+32/3 or (96+32)/3=128/3 candies per hour

Now we can set up a ratio:

128/3 candies is to 1 hour as 32 candies is to x hours and we can write this as follows:

(128/3)/1=32/x or

128/3=32/x  multiply both sides by 3x
128x=96  divide both sides by 128

x=0.75 hr----------------------------------answer

Possibly an easier way to look at this problem is as follows:

If Kay and Sis can eat 128/3 candies per hour, then how many hours will it take them to eat 32 candies?  Here's the equation we need to solve:

(128/3)x=32  multiply both sides by 3
128x=96
x=0.75 hr



Hope this helps----ptaylor