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Question

Please help with below sum.  Thank you.

Benjamin spent 5/9 of his money on 5 toys and 5 erasers, and 25% of the remainder on 2 cards.
Each eraser cost ¼ as much as a toy.
Each card cost $1.20 more than an eraser.
How much money did Benjamin spend on each toy?
How much money did Benjamin have in the end?

Answer

Ben had 9u of money.

5u on 5(erasers + toys) and

1/4 of remainder (4u) on 2 cards, i.e. he spend 1u on them.

Eraser = 1/4 of toy,

Toy= 4 erasers

5u = 5 erasers + 5 toy = 5 erasers + 20 erasers

Therefore 5u = 25 erasers

1u = 5 erasers

1u= 2 cards= 2 erasers + $2.40

So 5 erasers = 2 erasers + $2.40

3 erasers = $2.40

1 eraser = $0.80.

A) 5 toys= 20 erasers = $16 ##

Looking SAHmom’s solution, I realized I had a oversight. Question looking for one toy, not five.

One toy = 4 erasers = 4 X $0.80 = $3.20 ### 

B) in the end he left 3u

3u = 15 erasers = $12 ##

0 Replies 2 Likes ✔Accepted Answer

Just thought a diagram may help, especially those visual learners.

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

                                                All money (           )

                 1st spend 5/9 (     )                                   Remainder 4/9 (       )

5 toys (      )               5 erasers (     )      2 cards 25%(=1/9) (     )   Balance (=3/9)(     )

Step 2:  Process “Each eraser cost ¼ as much as a toy“ – Let 1 eraser costs $e

               Process “Each card cost $1.20 more than an eraser”

                                                All money (           )

                1st spend   5/9(#3. 25e )                                    Remainder 4/9 (       )

5 toys (#2. 20e )   5 erasers (#1. 5e  )    2 cards 1/9 (#4. 2e+2.40)  Balance 3/9 (    )

Step 3:  (Step back and) analyse the branch diagram… and Solve

                                                All money (           )

                   1st spend  5/9 (25e )                                    Remainder 4/9 (     )

5 toys (20e )            5 erasers (5e)               2 cards 1/9 (2e+2.40)    Balance 3/9 (     )

Taking only 1/9 from each side:   25e/5 = 2e +2.40 –> e=0.80

Each toy = 4e = $3.20#

Balance is 3/9 –> 5e x 3 = $4 x3 = $12#

 

1 Reply 2 Likes

Thank you SAHMom and ender .   Greatly appreciate your contribution.

The answer is correct.  

0 Replies 0 Likes