Question

kim made 1 1/4 quarts of a fruit smoothie.She drank 1/5 of the smoothie.Her brothers drank the rest of the smoothie.They each had 1/3 quart how many brothers does kim have ?

Answer 1

now, she made 1 and 1/4 quart of smoothie, she got thirsty and drank 1/5 of that, now how much is 1/5 of 1 and 1/4? well, just the product,


`\bf 1(1)/(4)\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\qquad \qquad \qquad \qquad \cfrac{\underline{5}}{4}\cdot \cfrac{1}{\underline{5}}\implies \cfrac{1}{4}`

notice, is really just 5/4 of smoothie, she drank 1/4, so, what's leftover is 4/4 then, 5/4 - 1/4 is just 4/4, or really just 1.

now, her brothers drank the rest, well, the rest is 4/4, ok.... and each drank 1/3 of the smoothie, how many times does 1/3 go into 4/4?


`\bf \cfrac{\quad (4)/(4)\quad }{(1)/(3)}\implies \cfrac{4}{4}\cdot \cfrac{3}{1}\implies 1\cdot \cfrac{3}{1}\implies \stackrel{brothers}{3}`