Question

Sara and Matt each ordered of a medium pizza. Sara ate 3/8 of her pizza for lunch and 2/8 for for and snack. Matt ate 2/4 of his pizza for lunch and 1/4 , for a snack. Who ate more pizza?

Answer 1

Matt ate `1/8` more than Sara

Explanation:

Sara ate`3/8+2/8=5/8`

Matt ate`2/4+1/4=3/4`

`5/8 , 3/4`

`(5 , 6)/8`
Sara ate `5/8`

Matt ate `6/8`

Matt ate `1/8` more than Sara

Answer 2

Matt ate the most.

Explanation:

Sara total consumption `->3/8+2/8=5/8`

Matt total consumption `->2/4+1/4 = 3/4`

But `3/4` is the same as `3/4xx1" " =" " 3/4xx2/2" "=" "6/8`
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Now we can do a direct comparison as the denominators are the same

Expressing the difference as a ratio we have:

`color(blue)("Matt :"color(green)(" Sara ")" "->" Matt : "color(green)("Sara"))`
`color(blue)(" "6/8color(white)(. ) :color(green)(" "5/8)" "color(white)(..)->" 6 : "color(green)(5))`

Matt ate the most.