Gwen was packing her bowls, plates and spoons to be moved to her new shop. She packed 90 more bowls than plates, and 53 more spoons than bowls. While moving
25 of her bowls and
115 of the plates were broken. The remaining 539 items were not broken. How many spoons did she have?
|
Bowls |
Plates |
Spoons |
Total |
Before |
5x3 = 15 u |
+ 90 |
15 u |
15 u |
+ 90 + 53 |
|
Change |
- 2x3 = - 6 u |
- 36 |
- 1 u |
|
|
|
After |
3x3 = 9 u |
+ 54 |
14 u |
15 u |
+ 143 |
539 |
25 x 90 = 36
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 54 + 14 u + 15 u + 143
= 38 u + 197
38 u + 197 = 539
38 u = 539 - 197
38 u = 342
1 u = 342 ÷ 38 = 9
Number of spoons that Gwen had
= 15 u + 143
= 15 x 9 + 143
= 135 + 143
= 278
Answer(s): 278