Albert has some blue and silver marbles. The total mass of all his marbles is 188 g. He has 4 less blue marbles than silver marbles. The average mass of the blue marbles is 8 g. The average mass of the silver marbles is 14 g. How many marbles does Albert have altogether?
| |
Blue |
Silver |
Total |
| Number |
1 u |
1 u + 4 |
2 u + 4 |
| Value |
8 |
14 |
|
| Total value |
8 u |
14 u + 56 |
188 |
Total mass of blue marbles
= 1 u x 8
= 8 u
Total mass of silver marbles
= 14(1 u + 4)
= 14 u + 56
Total mass of the marbles
= 8 u + 14 u + 56
= 22 u + 56
22 u + 56 = 188
22 u = 188 - 56
22 u = 132
1 u = 132 ÷ 22 = 6
Total number of marbles
= 2 u + 4
= 2 x 6 + 4
= 12 + 4
= 56
Answer(s): 56
