Question

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?

Answer 1

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 =
`x+(15x)/(100)`

=
`(100x+15x)/(100) =(115x)/(100)` = 1.15x .... (i)

Toys Harry has = 0.75x+32 ...... (ii)

As both have equal toys now, so equation (i) equals equation (ii)

`1.15x=0.75x+32`

`1.15x-0.75x=32`

`0.4x=32`

x=80

Hence, Teddy had 80 toys on Monday.

And Harry had 75% of 80 toys = 60 toys on Monday.