Rael has some silver and green marbles. The total mass of all his marbles is 237 g. He has 3 more green marbles than silver marbles. The average mass of the silver marbles is 6 g. The average mass of the green marbles is 11 g. How many marbles does Rael have altogether?
| |
Silver |
Green |
Total |
| Number |
1 u |
1 u + 3 |
2 u + 3 |
| Value |
6 |
11 |
|
| Total value |
6 u |
11 u + 33 |
237 |
Total mass of silver marbles
= 1 u x 6
= 6 u
Total mass of green marbles
= 11(1 u + 3)
= 11 u + 33
Total mass of the marbles
= 6 u + 11 u + 33
= 17 u + 33
17 u + 33 = 237
17 u = 237 - 33
17 u = 204
1 u = 204 ÷ 17 = 12
Total number of marbles
= 2 u + 3
= 2 x 12 + 3
= 24 + 3
= 33
Answer(s): 33
