Gwen made 175 macarons and muffins. After she gave 0.9 of the macarons and 0.4 of the muffins to her students, she was left with an equal number of macarons and muffins. How many macarons had she left?
|
Macarons |
Muffins |
Before
|
10x3 = 30 u |
5x1 = 5 u |
Change
|
- 9x3 = - 27 u |
- 2x1 = - 2 u |
After
|
1x3 = 3 u |
3x1 = 3 u |
Comparing macarons and muffins in the end |
1x3 = 3 u |
1x3 = 3 u |
0.9 =
910 0.4 =
410 =
25 The number of macarons and muffins is the same in the end. Make the number of macarons and muffins in the end the same. LCM of 1 and 3 and 1 is 3.
Total number of macarons and muffins at first
= 30 u + 5 u
= 35 u
35 u = 175
1 u = 175 ÷ 35 = 5
Number of macarons that Gwen had left
= 3 u
= 3 x 5
= 15
Answer(s): 15