PSLE
Jean and Sabrina made some cranberry sandwiches and vanilla sandwiches. Jean made 38 more cranberry sandwiches than vanilla sandwiches. Sabrina made 146 more vanilla sandwiches than cranberry sandwiches. The total number of cranberry sandwiches made up 41% of the total number of sandwiches they made. How many vanilla sandwiches did they make altogether?

Number of vanilla sandwiches		Number of cranberry sandwiches
59%		41%
Jean	Sabrina	Jean	Sabrina
1 u	1 p + 146	1 u + 38	1 p

Jean
Number of vanilla sandwiches = 1 u
Number of cranberry sandwiches = 1 u + 38

Sabrina
Number of cranberry sandwiches = 1 p
Number of vanilla sandwiches = 1 p + 146

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

1 u + 38 + 1 p = 41% --- (1)
1 u + 1 p + 146 = 59% --- (2)

(2) - (1)
59% - 41% = 146 - 38
18% = 108

1% = 108 ÷ 18 = 6

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

Answer(s): 354