On Monday, Harry had 75\%75% as many toys as Teddy did. On Tuesday, after Harry acquired 3232 more toys and Teddy acquired 15\%15% more than he had on Monday, Harry had as many toys as Teddy did. How many toys did Harry have on Monday?

Respuesta :

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.