Question

Sarah sold a total of 178 t shirts and posters at a festival. She sold 46 more tshirts than poster. How many posters did she sell

Answer 1

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