Question

A tour director collected AED 258 for 13 tour packages. Tour packages A cost AED 18 and tour package B costs AED 22. How many of each tour package were sold?

Answer 1

6 packages B

7 packages A

Explanation:

let the number of packages A be a and the number of packages B be b

Total number of packages is 13;

Thus;

a + b = 13 •••••(i)

Total package a cost is 18(a) = 18a

Total package b cost is 22(b) = 22b

Total of both is 258

18a + 22b = 258 •••••••(ii)

From i, a = 13-b

Put this in equation ii

18(13-b) + 22b = 258

234-18b + 22b = 258

4b = 258-234

4b = 24

b = 24/4 = 6

since;

a + b = 13

a + 6 = 13

a = 13-6

a = 7