PSLEXuan made some croissants to sell.
34 of them were beef croissants and the rest were mushroom croissants. After selling 105 mushroom croissants and
56 of the beef croissants, she had
16 of the croissants left. How many croissants did Xuan sell?
|
Beef croissants |
Mushroom croissants |
Total |
Comparing beef croissants and mushroom croissants at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 105 |
|
After |
1x1
|
|
|
|
Beef croissants |
Mushroom croissants |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 105 |
|
After
|
1 u
|
2 u - 105
|
16 x 8 u = 113 u |
The number of beef croissants at first is repeated. Make the number of beef croissants at first the same. LCM of 3 and 6 is 6.
Number of croissants left
= 1 u + 2 u - 105
= 3 u - 105
3 u - 105 = 1
13 u
3 u - 1
13 u = 105
1
23 u = 105
1 u = 105 ÷ 1
23 = 63
Total number of croissants that Xuan sold
= 5 u + 105
= 5 x 63 + 105
= 315 + 105
= 420
Answer(s): 420