There are 58 silver and yellow buttons in Box W. There are 52 silver and black buttons in Box X. The number of yellow buttons in Box W is three times the number of black buttons in Box X. The number of silver buttons in both boxes is the same.
- How many black buttons are there in Box X?
- Find the total number of silver buttons in both boxes.
(a)
Number of yellow buttons = 3 u
Number of black buttons = 1 u
Silver buttons + 3 u = 58 --- (1)
Silver buttons + 1 u = 52 --- (2)
(1) - (2)
3 u - 1 u = 58 - 52
2 u = 6
1 u = 6 ÷ 2 = 3
Number of black buttons
= 1 u
= 3
(b)
Number of silver buttons in Box X
= 52 - 3
= 49
Number of silver buttons in both boxes
= 2 x 49
= 98
Answer(s): (a) 3; (b) 98