Gwen was packing her plates, bowls and spoons to be moved to her new shop. She packed 27 more plates than bowls, and 12 more spoons than plates. While moving
23 of her plates and
19 of the bowls were broken. The remaining 148 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
3x3 =
9 u |
+ 27 |
9 u |
9 u |
+ 27 + 12 |
|
Change |
- 2x3 =
- 6 u |
- 18 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 9 |
8 u |
9 u |
+ 39 |
148 |
23 x 27 = 18
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 9 + 8 u + 9 u + 39
= 20 u + 48
20 u + 48 = 148
20 u = 148 - 48
20 u = 100
1 u = 100 ÷ 20 = 5
Number of spoons that Gwen had
= 9 u + 39
= 9 x 5 + 39
= 45 + 39
= 84
Answer(s): 84
