Wesley has some white and blue marbles. The total mass of all his marbles is 246 g. He has 6 more blue marbles than white marbles. The average mass of the white marbles is 3 g. The average mass of the blue marbles is 9 g. How many marbles does Wesley have altogether?
| |
White |
Blue |
Total |
| Number |
1 u |
1 u + 6 |
2 u + 6 |
| Value |
3 |
9 |
|
| Total value |
3 u |
9 u + 54 |
246 |
Total mass of white marbles
= 1 u x 3
= 3 u
Total mass of blue marbles
= 9(1 u + 6)
= 9 u + 54
Total mass of the marbles
= 3 u + 9 u + 54
= 12 u + 54
12 u + 54 = 246
12 u = 246 - 54
12 u = 192
1 u = 192 ÷ 12 = 16
Total number of marbles
= 2 u + 6
= 2 x 16 + 6
= 32 + 6
= 54
Answer(s): 54
