Sarah sold 66 posters
Solution:
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
Sarah sold a total of 178 t shirts and posters at a festival
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
She sold 46 more tshirts than poster
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
Substitute eqn 2 in eqn 1
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters