Question

arnald ate 1/4 pizza for dinner on monday. he ate 1/6 of what was left on tuestion. how much pizza did he eat on tuesday?

Answer 1

Answer:

$\frac{1}{8}$ of pizza

Step-by-step explanation:

Let the whole complete pizza be '1'

Part of pizza he ate on Monday = $\frac{1}{4} of 1 = \frac{1}{4} * 1 = \frac{1}{4}$

Remaining pizza = $1 - \frac{1}{4} = \frac{4 - 1}{4} = \frac{3 }{4}$

Part of pizza he ate on Tuesday = $\frac{1}{6} of \frac{3 }{4} = \frac{1}{6} * \frac{3 }{4} = \frac{1}{8}$

So on Tuesday, Arnald ate $\frac{1}{8}$ of pizza.

Answer 2

$\tex\underline\red\bold{Correct\:Question}$

Arnold ate 1/4 pizza for dinner on Monday. He ate 1/6 of what was left on Tuesday. How much pizza did he eat on Tuesday ?​

$\tex\underline\red\bold{Given}$

Fraction of pizza eaten on Monday =1/4

Fraction of pizza eaten from what he left on Monday =1/6

$\tex\underline\red\bold{To\:Find}$

Amount of pizza by him on Tuesday

$\tex\underline\red\bold{Answer}$

Quantity of pizza eaten on Monday=1/4

Quantity of pizza eaten,left over after Monday=1/6

Total pizza eaten by him

$=\dfrac{1}{4} +\dfrac{1}{6}$

LCM of 4 and 6 =12

$=\dfrac{1\times3+1\times2}{12}$

$=\dfrac{3+2}{12}$

$=\dfrac{5}{12}$

Whole pizza was of

$=\dfrac{12}{12}$

$=\dfrac{1}{1}$

Pizza eaten on Tuesday = Total pizza - Total eaten pizza.

Pizza eaten on Tuesday = 12/12 - 5/12

$=\dfrac{12}{12}-\dfrac{5}{12}$

$=\dfrac{7}{12}$

Hope it helps :)

Have a nice day!!