PSLERoshel and Julie made some cheese buns and cherry buns. Roshel made 51 more cheese buns than cherry buns. Julie made 171 more cherry buns than cheese buns. The total number of cheese buns made up 45% of the total number of buns they made. How many cheese buns did they make altogether?
Number of cherry buns |
Number of cheese buns |
55% |
45% |
Roshel |
Julie |
Roshel |
Julie |
1 u |
1 p + 171 |
1 u + 51 |
1 p |
RoshelNumber of cherry buns = 1 u
Number of cheese buns = 1 u + 51
Julie Number of cheese buns = 1 p
Number of cherry buns = 1 p + 171
Number of cherry buns in percent
= 100% - 45%
= 55%
1 u + 51 + 1 p = 45% --- (1)
1 u + 1 p + 171 = 55% --- (2)
(2) - (1)
55% - 45% = 171 - 51
10% = 120
1% = 120 ÷ 10 = 12
Number of cheese buns that they made altogether
= 45%
= 45 x 12
= 540
Answer(s): 540