Question

Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.

Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.

Answer 1

$1.29 for balloons

Explanation:

3b + 4f = 14.63

2b + 5f = 16.03

2b = 16.03 - 5f

b = (16.03/2) - 5/2f

3b + 4f = 14.63

3[(16.03/2) - 5/2f] + 4f = 14.63

48.09/2 - 15/2f + 4f = 14.63

24.045 - 15/2f + 8/2f = 14.63

24.045 - 7/2f = 14.63

-7/2f = -9.415

-3.5f = -9.415

f = 2.69 = $2.69 for favors

2b + 5(2.69) = 16.03

2b + 13.45 = 16.03

2b = 2.58

b = 1.29 = $1.29 for balloons