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1. Mrs Loke had some red, green and yellow buttons. She had 80 more green buttons than yellow buttons and 15 more red buttons than green buttons. She used 3/4 of her green buttons and 1/2 of her yellow buttons to sew on some dresses. She had 290 buttons left. How many buttons did Mrs Loke have at first?

Thank you☺

Answer

This is a Before After question.

     Before   Transfer  After    
 Green 4u  3u 1u 
 Yellow 4u – 80    -2u + 40 2u – 40 
Red 4u + 15   4u + 15
Total 12u – 65   7u – 25

7u – 25 = 290

7u = 290 + 25 = 315

1u = 315 ÷ 7 = 45

12u = 12 × 45 = 540

540 – 65 = 475

 

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Thank you very much☺

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G-Y=80   -> Y=G-80   -> Y= R-95

R-G=15   -> G = R-15

 

0.25G + 0.5Y + R = 290 (remaining buttons)

=> 0.25(R-15) + 0.5(R-95) + R = 290

      0.25R-3.75 +0.5R – 47.5 +R = 290

      1.75R = 341.25

       R = 195

       G = 195-15 = 180

       Y = 195-95 = 100

Thus R + G + Y = 475

 

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