Noah spent some of his allowance on Monday. He spent 1/6 of his allowance on Tuesday and 3/6 of it on Friday. Noah has none of his allowance money left. What fraction of his all…

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asked Jun 1, 2019 193k views

2 Answers

Clambake · Answer 1 · 2019-06-07T16:04:51+0000

Let us represent the allowance spent by Noah on Monday by the letter "x".

We know that all the fractions must always add up to 1 in such questions.

Thus, if Noah spent 1/6 of his allowance on Tuesday and 3/6 of it on Friday and he spend x amount on Monday, then these spendings must add up to 1.

In other words,

x+(1)/(6)+(3)/(6)=1

x+(1+3)/(6)=1

Thus,
x+(4)/(6)=1

$\therefore x=1-(4)/(6)=(6-4)/(6)=(2)/(6)=(1)/(3)$

Thus Noah spent a third or
(1)/(3) of her allowance on Monday.