math !!!! :O
posted by Katherine .
The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John.
(A) How many postcards did Zachary have in the beginning?
(B) How many postcards did Zachary give to John?

The way you define your variables is very crucial
let the number of cards John has be 4x
let the number of cards Zach has be 9x
(notice 4x : 9x = 4:9 )
Zach has 45 more than John
so 9x = 4x + 45
5x = 45
x = 9
so now we know that John has 36 and Zach has 81
so after the "giveaway"
John has 36+y
Zach has 81y
we are told that now Zach has 6/7 as many as John
81y = (6/7)(36+y)
567  7y = 216 + 6y
13y = 351
y = 27
Respond to this Question
Similar Questions

math
The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John. (A) How many postcards … 
PreAlgreba
The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John. (A) How many postcards … 
math
The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John. (A) How many postcards … 
math
The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John. (A) How many postcards … 
math
There are 10 boxes of postcards. Each box contains 10 bundles of 10 postcards.how many postcards are there all together? 
math word problems
Sally and marta had the same number of postcards. After sally sold 18 of her postcards, marta had 4 times as many postcards as sally. How many postcards did each girl have to begin with? 
math
Sally and Marta had the same number of postcards. After Sally sold 18 of her postcards, Marta had 4 times as many postcards as Sally. How many postcards did each girl have to begin with? 
math
Paul has two thirds as many postcards and shawn the number of postcards shawn has three fifths of a number of postcard tim has if three boys have 280 postcards altogether how many more postcards does Tim have than Paul 
math
Sally and Marta had the same number of postcards. After Sally sold 18 of her postcards, Marta had 4 times as many postcards as Sally. How many postcards did each girl have to begin with? 
math
Sally and Marta had the same number of postcards. After Sally sold 18 pf her cards, Marta had 4 times as many postcards as Sally. How many postcards did each girl have to begin with?