Question
Ahmad and Sam had an equal number of marbles at first. Ahmad sold 25% of his marbles while Sam sold 1/3 of his marbles. They then had 340 marbles left in the end.
(a) What is the ratio of the total number of marbles sold to the total number of marbles left?
(b) How many marbles did each boy have at first?
(a) What is the ratio of the total number of marbles sold to the total number of marbles left?
(b) How many marbles did each boy have at first?
Answers
Bot
(a) The ratio of the total number of marbles sold to the total number of marbles left is 4:1.
(b) Each boy had 480 marbles at first.
(b) Each boy had 480 marbles at first.
I Know
Disagree again
at start:
Ahmad had x marbles
sam had x marbles
after sale:
Ahmad has 3/4 x
Sam has 2/3 x
3x/4 + 2x/3 = 340
times 12
9x + 8x = 4080
x = 240 <---- the amount each had at first
ratio part of problem:
Ahmad sold 1/4 of 240 = 60
Sam sold 1/3 of his = 80
total sold : total = 140 : 480 = 7 : 24
at start:
Ahmad had x marbles
sam had x marbles
after sale:
Ahmad has 3/4 x
Sam has 2/3 x
3x/4 + 2x/3 = 340
times 12
9x + 8x = 4080
x = 240 <---- the amount each had at first
ratio part of problem:
Ahmad sold 1/4 of 240 = 60
Sam sold 1/3 of his = 80
total sold : total = 140 : 480 = 7 : 24