Warren has some pink and silver marbles. The total mass of all his marbles is 206 g. He has 6 less pink marbles than silver marbles. The average mass of the pink marbles is 3 g. The average mass of the silver marbles is 5 g. How many marbles does Warren have altogether?
| |
Pink |
Silver |
Total |
| Number |
1 u |
1 u + 6 |
2 u + 6 |
| Value |
3 |
5 |
|
| Total value |
3 u |
5 u + 30 |
206 |
Total mass of pink marbles
= 1 u x 3
= 3 u
Total mass of silver marbles
= 5(1 u + 6)
= 5 u + 30
Total mass of the marbles
= 3 u + 5 u + 30
= 8 u + 30
8 u + 30 = 206
8 u = 206 - 30
8 u = 176
1 u = 176 ÷ 8 = 22
Total number of marbles
= 2 u + 6
= 2 x 22 + 6
= 44 + 6
= 30
Answer(s): 30
