PSLEPenelope and Jean made some banana muffins and strawberry muffins. Penelope made 25 more banana muffins than strawberry muffins. Jean made 185 more strawberry muffins than banana muffins. The total number of banana muffins made up 42% of the total number of muffins they made. How many banana muffins did they make altogether?
Number of strawberry muffins |
Number of banana muffins |
58% |
42% |
Penelope |
Jean |
Penelope |
Jean |
1 u |
1 p + 185 |
1 u + 25 |
1 p |
PenelopeNumber of strawberry muffins = 1 u
Number of banana muffins = 1 u + 25
Jean Number of banana muffins = 1 p
Number of strawberry muffins = 1 p + 185
Number of strawberry muffins in percent
= 100% - 42%
= 58%
1 u + 25 + 1 p = 42% --- (1)
1 u + 1 p + 185 = 58% --- (2)
(2) - (1)
58% - 42% = 185 - 25
16% = 160
1% = 160 ÷ 16 = 10
Number of banana muffins that they made altogether
= 42%
= 42 x 10
= 420
Answer(s): 420