PSLEBarbara and Tiffany made some vanilla muffins and apricot muffins. Barbara made 69 more vanilla muffins than apricot muffins. Tiffany made 185 more apricot muffins than vanilla muffins. The total number of vanilla muffins made up 21% of the total number of muffins they made. How many vanilla muffins did they make altogether?
Number of apricot muffins |
Number of vanilla muffins |
79% |
21% |
Barbara |
Tiffany |
Barbara |
Tiffany |
1 u |
1 p + 185 |
1 u + 69 |
1 p |
BarbaraNumber of apricot muffins = 1 u
Number of vanilla muffins = 1 u + 69
Tiffany Number of vanilla muffins = 1 p
Number of apricot muffins = 1 p + 185
Number of apricot muffins in percent
= 100% - 21%
= 79%
1 u + 69 + 1 p = 21% --- (1)
1 u + 1 p + 185 = 79% --- (2)
(2) - (1)
79% - 21% = 185 - 69
58% = 116
1% = 116 ÷ 58 = 2
Number of vanilla muffins that they made altogether
= 21%
= 21 x 2
= 42
Answer(s): 42