PSLE
Olivia and Tammy made some strawberry sandwiches and banana sandwiches. Olivia made 37 more strawberry sandwiches than banana sandwiches. Tammy made 149 more banana sandwiches than strawberry sandwiches. The total number of strawberry sandwiches made up 43% of the total number of sandwiches they made. How many strawberry sandwiches did they make altogether?

Number of banana sandwiches		Number of strawberry sandwiches
57%		43%
Olivia	Tammy	Olivia	Tammy
1 u	1 p + 149	1 u + 37	1 p

Olivia
Number of banana sandwiches = 1 u
Number of strawberry sandwiches = 1 u + 37

Tammy
Number of strawberry sandwiches = 1 p
Number of banana sandwiches = 1 p + 149

Number of banana sandwiches in percent
= 100% - 43%
= 57%

1 u + 37 + 1 p = 43% --- (1)
1 u + 1 p + 149 = 57% --- (2)

(2) - (1)
57% - 43% = 149 - 37
14% = 112

1% = 112 ÷ 14 = 8

Number of strawberry sandwiches that they made altogether
= 43%
= 43 x 8
= 344

Answer(s): 344