Howard had some pastries.
58 of them were scones. The rest were tarts. He sold
34 of the scones and 19 tarts. In the end, he had 100 pastries left. How many pastries did he sell?
|
Scones |
Tarts |
Comparing pastries at first |
5x4 = 20 u |
3x4 = 12 u |
Before
|
4x5 = 20 u |
12 u |
Change
|
- 3x5 = - 15 u |
- 19 |
After
|
1x5 = 5 u |
12 u - 19 |
The number of scones at first is repeated. Make the number of scones at first the same. LCM of 5 and 4 is 20.
Total number of pastries left
= 5 u + 12 u - 19
= 17 u - 19
17 u - 19 = 100
17 u = 100 + 19
17 u = 119
1 u = 119 ÷ 17 = 7
Number of pastries that Howard sold
= 15 u + 19
= 15 x 7 + 19
= 105 + 19
= 124
Answer(s): 124