PSLEXuan and Cindy made some cherry muffins and vanilla muffins. Xuan made 58 more cherry muffins than vanilla muffins. Cindy made 198 more vanilla muffins than cherry muffins. The total number of cherry muffins made up 43% of the total number of muffins they made. How many vanilla muffins did they make altogether?
Number of vanilla muffins |
Number of cherry muffins |
57% |
43% |
Xuan |
Cindy |
Xuan |
Cindy |
1 u |
1 p + 198 |
1 u + 58 |
1 p |
XuanNumber of vanilla muffins = 1 u
Number of cherry muffins = 1 u + 58
Cindy Number of cherry muffins = 1 p
Number of vanilla muffins = 1 p + 198
Number of vanilla muffins in percent
= 100% - 43%
= 57%
1 u + 58 + 1 p = 43% --- (1)
1 u + 1 p + 198 = 57% --- (2)
(2) - (1)
57% - 43% = 198 - 58
14% = 140
1% = 140 ÷ 14 = 10
Number of vanilla muffins that they made altogether
= 57%
= 57 x 10
= 570
Answer(s): 570