7 pairs of a are sold and 9 pairs of b are sold.
The equation that will be used in solving the equation will be:
a + b = 16 ......... i
45a + 30b = 585 ......... ii
From equation i,
a = 16 - b ...... iii
Put equation iii into ii
45a + 30b = 585.
45(16 - b) + 30b = 585.
720 - 45b + 30b = 585.
Collect like terms
-45b + 30b = 585 - 720
-15b = -135
b = 135/15.
b = 9
Since a + b = 16
a = 16 - b
a = 16 - 9
a = 7
Therefore, 7 pairs of a are sold and 9 pairs of b are sold.
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