Xavier has some white and silver marbles. The total mass of all his marbles is 226 g. He has 2 more silver marbles than white marbles. The average mass of the white marbles is 6 g. The average mass of the silver marbles is 8 g. How many marbles does Xavier have altogether?
| |
White |
Silver |
Total |
| Number |
1 u |
1 u + 2 |
2 u + 2 |
| Value |
6 |
8 |
|
| Total value |
6 u |
8 u + 16 |
226 |
Total mass of white marbles
= 1 u x 6
= 6 u
Total mass of silver marbles
= 8(1 u + 2)
= 8 u + 16
Total mass of the marbles
= 6 u + 8 u + 16
= 14 u + 16
14 u + 16 = 226
14 u = 226 - 16
14 u = 210
1 u = 210 ÷ 14 = 15
Total number of marbles
= 2 u + 2
= 2 x 15 + 2
= 30 + 2
= 16
Answer(s): 16
