0 like 0 dislike
381 views
Mr Ang had a total number of 384 buns in 2 shops, $K$ and L. After he transferred 60 buns from Shop $L$ to Shop K, Shop K had 7 times as many buns as Shop L. How many buns were there in Shop K at first?
| 381 views

1 like 0 dislike

$x=283.5$ and $y=100.5$

Explanation:

Let $x$ be the number of buns in shop $K$ and let $y$ be the number of buns in shop in $L$

Since the total number of buns fromthe two shops is 384, then:

$x+y=384$

Given that after moving 60 buns, shop $K$ now has 7 times more than $L$ so:

$x=7(y-60)$

$x-7y=-420$

Now we have the simultaneous equations:

$x+y=384$

$x-7y=-420$

Subtracting the second equation from the first eliminates $x$

$8y=804$

$y=100.5$

substituting for $y$ gives:

$x+100.5=384$

$x=283.5$

by Gold Status (31,741 points)

1 like 0 dislike
0 like 0 dislike
2 like 0 dislike
1 like 0 dislike
0 like 0 dislike
0 like 0 dislike
1 like 0 dislike
0 like 0 dislike
0 like 0 dislike