PSLE
Vanessa and Pamela made some cranberry sandwiches and cherry sandwiches. Vanessa made 69 more cranberry sandwiches than cherry sandwiches. Pamela made 133 more cherry sandwiches than cranberry sandwiches. The total number of cranberry sandwiches made up 42% of the total number of sandwiches they made. How many cherry sandwiches did they make altogether?

Number of cherry sandwiches		Number of cranberry sandwiches
58%		42%
Vanessa	Pamela	Vanessa	Pamela
1 u	1 p + 133	1 u + 69	1 p

Vanessa
Number of cherry sandwiches = 1 u
Number of cranberry sandwiches = 1 u + 69

Pamela
Number of cranberry sandwiches = 1 p
Number of cherry sandwiches = 1 p + 133

Number of cherry sandwiches in percent
= 100% - 42%
= 58%

1 u + 69 + 1 p = 42% --- (1)
1 u + 1 p + 133 = 58% --- (2)

(2) - (1)
58% - 42% = 133 - 69
16% = 64

1% = 64 ÷ 16 = 4

Number of cherry sandwiches that they made altogether
= 58%
= 58 x 4
= 232

Answer(s): 232