Maths
posted by Lance .
Three boys shared some cards. Peter had twice as many cards as Farid. The ratio of the number of cards Peter had to the number of cards Kiran had was 6:5. Farid gave 2/3 of his cards to Peter and the rest to Kiran. How many cards did Kiran have at first if he received 10 cards from Faird.

Farid had x
Peter had 2x
Peter : Kiran = 2x : k = 6 : 5
2x/k = 6/5
6k = 10x
k = 5x/3
Kiran had 5x/3
Farid gives (2/3)(x) to Peter
Farid gives (1/3)(x) to Kiran
but this (1/3)x = 10
x=30
So...
Farid had 30
Peter had 60
Kiran had 50
check:
Peter had twice as many as Farid ✔
ratio of peter to Kiran = 60:50 = 6:5 ✔
Kiran got 10 cards from Farid, which should be (1/3)(30) ✔
Respond to this Question
Similar Questions

MATHS
Could you please check my answer? Daniel played a cards game in which each loss meant that he had to give the other player half the cards he had left. He lost four times, one after the other, and then had 3 cards left. How many cards 
math (always)
if peter has 60 basball cards in his collection how many baseball football and basketball cards does he have? 
maths p5
1. Three boxes A, B and C weigh 12kg altogether. Box A weighs 1.2kg more than B and 0.3kg more than C. What is the weight of the heaviest box? 
math
Katie had a pack of twenty four cards numbered 1 24. She arranged the cards into 6 piles. No more than 2 piles had the same number of cards the numbers on the cards in each pile added to the same total. What was the total and how … 
maths
aman had 128 trading cards. he gave 3/8 of his cards to mohit and 1/4 cards to kushal. how many cards he give away altogether? 
maths
aman had 128 trading cards. he gave 3/8 of his cards to mohit and 1/4 cards to kushal. how many cards he give away altogether? 
3rd grade math
A pile of index cards has a mixture of white, pink, yellow, red, and blue cards. Some cards are lined, and some are unlined. The total number of cards is 150. 2/5 of the cards are blue, 10 cards are white, and 10 cards are red. Half … 
Math Important!
Ozzie's Mother bought an assortment of greeting cards while she was at the bookstore. She bought twice as many birthday cards as anniversary cards. She bought 2 fewer anniversary cards than general greetings cards, but 2 more anniversary … 
MATH
NEED HELP WITH THIS THANKS!!!TOGETHER, RYAN AND MAX HAD 195 BASEBALL CARDS. ONCE MAX GAVE 3/8 OF HIS CARDS TO ANOTHER FRIEND, HE AND RYAN HAD AN EQUAL NUMBER OF CARDS. HOW MANY MORE CARDS DID MAX HAVE THAN RYAN IN THE BEGINNING? 
Math
Peter has 12 baseball cards he traded 1/3 of his cards with his cousin and 1/4 of his cards to tyrell how many cards did he keep