Hi please help. Thanks and god bless.
Janice has some blue and green marbles. If she uses 30 blue marbles, the number of blue marbles left will be 20% of the total number of marbles left. If she uses 60 green marbles, the number of blue marbles left will be 25% of the total number of marbles left.
a) How many beads does Janice have altogether?
B) what fraction of jolene’s marbles are blue?
(a)
blue marbles : 10u
green marbles : 10p
If she uses 30 blue marbles, the number of blue marbles left will be 20% of the total number of marbles left,
10u – 30 = 20% x (10u – 30 + 10p) = 2u – 6 + 2p
8u – 24 = 2p
1p = 4u – 12
If she uses 60 green marbles, the number of blue marbles left will be 25% of the total number of marbles left,
10u = 25% x (10u + 10p – 60) = 2.5u + 2.5p – 15
7.5u = 2.5p – 15 = 2.5 x (4u – 12) – 15 = 10u – 45
2.5u = 45
1u = 18
1p = 4 x 18 – 12 = 60
10u + 10p = 180 + 600 = 780
(b)
180/780 = 3/13
Ans : (a) 780 marbles; (b) 3/13
Blue Green Total
Before 1u + 30 4u 5u + 30
Change -30
After 1u 4u 5u
Blue Green Total
Before 1p 3p + 60
Change -60
After 1p 3p 4p
1p = 1u + 30
4u = 3p + 60
4u = 3u + 90 + 60
1u = 150
Total = 5u + 30 = 780
Fraction which is blue = 180/780 = 3/13
Thanks a lot 🙂
