AskQ logo

STUCK ON HOMEWORK?

ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!

Question

Answer

Small (blue) -> 8u
Small (not blue) -> 1u

Big (blue) is 5/8 of Small (blue) -> 5/8 x 8u = 5u
3/4 of Big -> 5u
1/4 of Big -> 5u/3

8u + 1u + 5u + 5u/3 = 4700
47u = 14100
1u = 300

Small (blue) -> 8 x 300 = 2400
Small (not blue) -> 1 x 300 = 300
Big (blue) -> 5 x 300 = 1500
Big (not blue) -> 5/3 x 300 = 500

0 Replies 2 Likes ✔Accepted Answer

Just trying to help on “thought processing” process, showing the sequence of “plucking in” the number of units. If child is clueless on how to start, drawing out the branches can help processing the info.

Step 1:  Branch out a diagram and write down information:

                                               Total marbles 4700

                   Small   9/9(     )                                                    Big 4/4 (       )

Blue 8/9 (      )              Not Blue 1/9 (     )         Blue 3/4 (      )        Not Blue 1/4 (    )

KIV (Keep In View):  5/8 of small BLUE marbles = Big BLUE marbles

Step 2:  Process “8/9 of small marbles …. are blue

                                               Total marbles 4700

                 Small   ( #1. 9u  )                                                       Big (       )

Blue 8/9 ( #2. 8u )        Not Blue ( #3. 1u )       Blue 3/4 (        )     Not Blue 1/4 (    )

Step 3:  Process “5/8 of small BLUE marbles = Big BLUE marbles

                                               Total marbles 4700

               Small   ( 9u  )                                                   Big (       )

Blue 8/9 ( 8u)       Not Blue ( 1u )       Blue 3/4 (#4. 5u )     Not Blue 1/4 (#5. 5u/3)

Step 4: Solve u based on Total and find answer (see Big Devil’s working above)

8u + 1u + 5u + 5u/3 = 4700

ALTERNATIVELY:

Same Steps 1 to 3 above.

Step 3b:  Reprocess for a “convenient” number of units (multiply by 3)

(either solving by equation above or by reconfiguring a convenient number of units below)

                                               Total marbles 4700  (‘7. 47p)

                 Small   ( ‘4. 27p  )                                                Big (‘6. 20p)

Blue 8/9 (‘3.  24p)     Not Blue (‘5.  3p)     Blue 3/4 (‘2.  15p)   Not Blue 1/4 (‘1. 5p)

Step 4: Solve u and find answers

47p = 4700 –> p=100

(a) Small marbles = 27p = 2700#

(b) Big blue marbles = 15p = 1500#

0 Replies 2 Likes