Question

Simon gets some money for his birthday.

Simon spends ¹/₂ of his money on a bike.
He then gets £20 more from his gran for his birthday.
He spends ¹/₄ of what he has left on a new game.
He has £57 left.
How much does Simon get for his birthday altogether?

Answer 1

27

Explanation:

(57 ÷ 4_1 +57 _20) ÷2

(57÷3 +57 _20) ÷2

(19+57 _20)÷2

(76 _ 20)÷2

(56 ) ÷2

= 28

Answer 2

£112 initial + £20= £ 132

Explanation:

Initial amount= x

• (x-x/2+20)*3/4= 57
• (x/2+20)= 4*57/3
• x/2+20=76
• x/2=56
• x=2*56
• x=112

And he received £20, added to initial amount it total to £132

Lets verify the answer:

• 112
• 112-56= 56
• 56+20=76
• 76-76/4= 76-19= 57
• 57=57