Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct?

Question

dtan5457 · Answer

15=100%
18=?

dtan5457 · Answer

Cross multiply to find your missing value, it's a proportion.

dtan5457 · Answer

18 times 100 divided by 15

dtan5457 · Answer

Is it 120? You tell me.

solomonzelman · Answer

basically:
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is this statement true:   $\normalsize\color{ slate }{\large{\bbox[5pt, lightgray ,border:2px solid  black  ]{   120\text{%} ~{\rm~of}~~ 15=100\text{%} ~{\rm~of}~~ 18 }}}$

solomonzelman · Answer

$\normalsize\color{ slate }{\large{\bbox[5pt, lightgray ,border:2px solid  black  ]{   120\text{%} ~{\rm~of}~~ 15=100\text{%} ~{\rm~of}~~ 18 }}}$

$\normalsize\color{ slate }{\large{\bbox[5pt, lightgray ,border:2px solid  black  ]{   1.2 \times 15=1\times 18 }}}$

solomonzelman · Answer

and then tell me if my last line makes sense or not