PSLE
Vanessa and Lucy made some chocolate chip buns and cranberry buns. Vanessa made 52 more chocolate chip buns than cranberry buns. Lucy made 160 more cranberry buns than chocolate chip buns. The total number of chocolate chip buns made up 41% of the total number of buns they made. How many chocolate chip buns did they make altogether?

Number of cranberry buns		Number of chocolate chip buns
59%		41%
Vanessa	Lucy	Vanessa	Lucy
1 u	1 p + 160	1 u + 52	1 p

Vanessa
Number of cranberry buns = 1 u
Number of chocolate chip buns = 1 u + 52

Lucy
Number of chocolate chip buns = 1 p
Number of cranberry buns = 1 p + 160

Number of cranberry buns in percent
= 100% - 41%
= 59%

1 u + 52 + 1 p = 41% --- (1)
1 u + 1 p + 160 = 59% --- (2)

(2) - (1)
59% - 41% = 160 - 52
18% = 108

1% = 108 ÷ 18 = 6

Number of chocolate chip buns that they made altogether
= 41%
= 41 x 6
= 246

Answer(s): 246