Sarin participates in school anniversary event part 10 (Math Question)

Standard

The blog postings are about the Singapore Math. The readers can learn from the postings on Solving Singapore Primary School Mathematics. You or your kids can learn dealing with Math modeling, Problem Sum from Lower Primary School to Upper Primary School level in Singapore school. This posting is a primary school math question on Fraction, Math Modeling and Problem Solving.

Read the posting on Sarin participates in school anniversary event part 1 for story on school anniversary.

To read also the posting on Sarin learns the concept of Fraction (mathematics concept) to understand the concept of Fraction.

Upper primary school mathematics question UPQ173

There were a total of 930 guests in the school anniversary dinner. After 4/5 of the male guests and ¾ of the female guests left, there were 120 more female guests than male guests that remained. How many male guests were at the school anniversary dinner at first?

 

Solution:

                        The fraction of male guests remained = 1 – 4/5 = 1/5 of all male guests

                        The fraction of female guests remained = 1 – 3/4 = 1/4 of all female guests

                        The female guests were more than male guests by 120 at the end

                        One unit of female guests (F) = One unit of male guests (M) + 120

                        1F = 1M + 120

                        With total number of guests at first were 930

                        5M + 4F = 930

                        5M + 4M + 4 × 120 = 930

                        9M = 930 – 480 = 450

                        1M = 50

                        The number of male guests at first = 5 × 50 = 250

Alternative solution:

                        Draw the model based on Fraction and remove guests that left

 

                        9 units = 930 – 120 × 4 = 450

                        1 unit = 50

                        The number of male guests = 5 × 50 = 250            

More Questions on Fraction. Click here….

More Questions on Problem Solving. Click here….

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s