Jade was packing her bowls, plates and spoons to be moved to her new shop. She packed 88 more bowls than plates, and 42 more spoons than bowls. While moving
34 of her bowls and
112 of the plates were broken. The remaining 438 items were not broken. How many spoons did she have?
|
Bowls |
Plates |
Spoons |
Total |
Before |
4x3 = 12 u |
+ 88 |
12 u |
12 u |
+ 88 + 42 |
|
Change |
- 3x3 = - 9 u |
- 66 |
- 1 u |
|
|
|
After |
1x3 = 3 u |
+ 22 |
11 u |
12 u |
+ 130 |
438 |
34 x 88 = 66
LCM of 4 and 12 is 12.
Total number of items that was not broken
= 3 u + 22 + 11 u + 12 u + 130
= 26 u + 152
26 u + 152 = 438
26 u = 438 - 152
26 u = 286
1 u = 286 ÷ 26 = 11
Number of spoons that Jade had
= 12 u + 130
= 12 x 11 + 130
= 132 + 130
= 262
Answer(s): 262