Question #f1ecd

1 Answer
Jan 28, 2018

Answer:

Lyle received #$120# in tips.

Melissa received #$160#

Explanation:

The best way to solve this problem is by logic.

By agreeing to a #4:3# ratio, they are dividing the tips into #7# parts -- #4# parts for Melissa, plus #3# parts for Lyle.

So #$280# represents all #7# of the parts.

Therefore, each one part is worth #$40#.
#7# parts @ #$40# ea = #$280#

Melissa got #4# parts, which equals #4 xx $40#
#"Melissa's share"#:  #$160#

Lyle got #3# parts, which equals #3 xx $40#
#"Lyle's share"#:  #$120# #larr# answer

Check
In a #4:3# ratio:
#4# shares @ #$40# ea . . . .#$160# #larr# Melissa's share
#3# shares @ #$40# ea . . . .#$120# #larr# Lyle's share
..........................................................
#7# shares #color(white)(..............m)# #$280#

#Check!#