Jenson has some pink and blue marbles. The total mass of all his marbles is 184 g. He has 8 more blue marbles than pink marbles. The average mass of the pink marbles is 10 g. The average mass of the blue marbles is 12 g. How many marbles does Jenson have altogether?
| |
Pink |
Blue |
Total |
| Number |
1 u |
1 u + 8 |
2 u + 8 |
| Value |
10 |
12 |
|
| Total value |
10 u |
12 u + 96 |
184 |
Total mass of pink marbles
= 1 u x 10
= 10 u
Total mass of blue marbles
= 12(1 u + 8)
= 12 u + 96
Total mass of the marbles
= 10 u + 12 u + 96
= 22 u + 96
22 u + 96 = 184
22 u = 184 - 96
22 u = 88
1 u = 88 ÷ 22 = 4
Total number of marbles
= 2 u + 8
= 2 x 4 + 8
= 8 + 8
= 96
Answer(s): 96
