Last year, Singer A performed one more than four times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 16. How many concert shows did each perform?

Team A performed 21 shows.

Team B performed 5 shows.

A = 4B + 1

B = A - 16

Substitute 4b + 1 for a in b = a − 16:

b = a − 16

b = 4b + 1 − 16

b= 4b − 15 (Simplify both sides of the equation)

b − 4b = 4b − 15 − 4b (Subtract 4b from both sides)

−3b = −15

−3b/−3 = −15/−3(Divide both sides by -3)

b=5

Substitute 5 for b in a = 4b + 1:

a = 4b + 1

a = (4)(5) + 1

a = 21

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

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