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?
1 answer:
Answer:
6 packages B
7 packages A
Step-by-step 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
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