Mr Soo has 130 green and red apples. 3/5 of the apples are red. After buying some more red apples,5/6 of them are now red.How many more red apple did he buy?
Mr Soo has 130 green and red apples. 3/5 of the apples are red. After buying some more red apples,5/6 of them are now red.How many more red apple did he buy?
130 x 3/5 =78 red apples
78 + x= 5/6(130+x)
78+x=108 1/3 + 5/6x
x - 5/6x =108 1/3 - 78
1/6x=30 1/3 multiply both sides by 6
x=182 red apples that he purchased, so that:
182 + 78=260 total red apple
182+130=312 total green and red apples.
260/312=5/6 are red apples.
He had (3/5) x 130 = 78 red apples before purchasing some more.......let x be the number of additional red ones that he pruchased
So......we have
total red apples / total apples = 5/6
[ 78 + x ] / [130 + x ] = 5/6 cross- multiply
6[78 + x] = 5(130 + x] simplify
468 + 6x = 650 + 5x subtract 5x, 468 from both sides
182 = x