Danny spends #9/11# of the money he had and finds he has #$88# left. How much did have initially?

3 Answers
Apr 3, 2017

Answer:

$484

Explanation:

Let #color(red)x# be the amount of money Danny had at first.

since Danny spent #color(red)(9/11)# of his money,
amount of money spent by him #= 9/11*x#
#therefore #money left with him #=x-9/11*x#

but we are given that he had #$88# left.

#=> x-9/11*x = 88#
#=> (11x-9x)/11 = 88#
#=>(2x)/11=88#
#=> x=88*11/2 = 44*11 = color(red)484#

#therefore# Danny initially had $484

Apr 3, 2017

Answer:

He had #$484#

Explanation:

We can calculate this using direct proportion.

If he spends #9/11# , it means he has #2/11# of the money left.

If we know how much #2# parts is, we can find how much #9# parts is.

#2/9 = 88/x#

#x = (88 xx 9)/2#

#x = $484#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Or, you can increase #88# in the ratio #9 : 2#

#88 xx 9/2#

#=$484#

Apr 3, 2017

Answer:

Initial sum was: # $484.00#

Explanation:

Let the initial value be #v#

Spent #9/11v#

Left #2/11v=$88.00#

#v=11/2xx$88.00=$484.00#