Question

Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,

Answer 1

Question:

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday,  the rain gauge showed 5 7/10  centimeters. How many more centimeters of rain  fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm​

Answer:

Option D

$1\frac{9}{10}$  more centimeters of rain  fell during this week than last week

Solution:

From given,

$Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm$

Also given that,

$This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm$

How many more centimeters of rain  fell during the week?

$This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}$

Thus $1\frac{9}{10}$  more centimeters of rain  fell during this week than last week