PSLE
Emily and Jen made some apricot sandwiches and cherry sandwiches. Emily made 69 more apricot sandwiches than cherry sandwiches. Jen made 177 more cherry sandwiches than apricot sandwiches. The total number of apricot sandwiches made up 41% of the total number of sandwiches they made. How many cherry sandwiches did they make altogether?

Number of cherry sandwiches		Number of apricot sandwiches
59%		41%
Emily	Jen	Emily	Jen
1 u	1 p + 177	1 u + 69	1 p

Emily
Number of cherry sandwiches = 1 u
Number of apricot sandwiches = 1 u + 69

Jen
Number of apricot sandwiches = 1 p
Number of cherry sandwiches = 1 p + 177

Number of cherry sandwiches in percent
= 100% - 41%
= 59%

1 u + 69 + 1 p = 41% --- (1)
1 u + 1 p + 177 = 59% --- (2)

(2) - (1)
59% - 41% = 177 - 69
18% = 108

1% = 108 ÷ 18 = 6

Number of cherry sandwiches that they made altogether
= 59%
= 59 x 6
= 354

Answer(s): 354