Warm up prob1-- Who cares? There's pizza in the question!

Algebra Level 2

2 7 \frac{2}{7} of a pizza is eaten for lunch and 3 5 \frac{3}{5} of the remaining pizza is eaten for dinner, how much of the pizza is left for Millburn? If the answer can be expressed as a b \frac{a}{b} for co-prime positive integers a , b a,b , what is a + b a+b .

This question was posed to me by my little 5 year old cousin. He's so cute :D


The answer is 9.

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Trevor Arashiro by Trevor Arashiro , 22, USA

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2 solutions

Rahul Kumar
Sep 30, 2014

1-(2/7)= 5/7 of pizza is left after lunch. And 3/5 of the remaining frm lunch eaten in dinner i.e 5/7 *3/5=3/7 . so total pizza left was 5/7-3/7=2/7

4 Helpful 0 Interesting 0 Brilliant 0 Confused

let x x be the whole pizza. After lunch, the remaining pizza is

x − 2 7 x = 5 7 x x-\dfrac{2}{7}x=\dfrac{5}{7}x

After dinner, the remaining pizza is

5 7 x − 3 5 ( 5 7 x ) = 2 7 x \dfrac{5}{7}x-\dfrac{3}{5}\left(\dfrac{5}{7}x\right)=\dfrac{2}{7}x

The desired answer is

a + b = 2 + 7 = a+b=2+7= 9 \color{#D61F06}\boxed{9}

2 Helpful 1 Interesting 0 Brilliant 0 Confused

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