# Question

Can help plzzz. TIA!

Sorry for my kids’ messy marking in Q.

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

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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#

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