Let the number of toys Teddy has on Monday = x
On Monday Harry has = 75% of x or 0.75x
As given, On Tuesday, after Harry acquired 32 more toys and Teddy acquired 15% more than he had on Monday, Harry had as many toys as Teddy did.
Toys Teddy has = [tex]x+\frac{15x}{100}[/tex]
=[tex]\frac{100x+15x}{100} =\frac{115x}{100}[/tex] = 1.15x .... (i)
Toys Harry has = 0.75x+32 ...... (ii)
As both have equal toys now, so equation (i) equals equation (ii)
[tex]1.15x=0.75x+32[/tex]
[tex]1.15x-0.75x=32[/tex]
[tex]0.4x=32[/tex]
x=80
Hence, Teddy had 80 toys on Monday.
And Harry had 75% of 80 toys = 60 toys on Monday.