Write asystem of two equations in two unknowns for eachproblem. Solve each syste

Question

Write asystem of two equations in two unknowns for eachproblem.

Solve each system bysubstitution.

and received a total of $970 in interestafter one year. If

$3 and to students for $2. Ifthe total receipts were $824

and twice as many adulttickets as student tickets were

sold, then how many of each weresold?

Explanation / Answer

# 92 given: total $970 in interest after oneyear,    part ofthe money returned 4% = 0.04x, and the remainder 2.25% =0.0225y let x + y = 33000   =>>    x = 33000- y         (where x and yare the amount invested) 970 = 0.04x + 0.0225y 970 = 0.04(33000 - y) + 0.0225y = 1320 - 0.04y - 0.0225y 970 =1320 - 0.0175y -350 =-0.0175y               subtract 350 on both side then solve for y by dividing -0.0175       y =20,000               now substitute y into the original equationgives:    x - 33000 - y = 33000 - 20000 =13000      x = 13000 check your answer 13000(0.04) + 20000(0.0225) = 520+450 = 970 #100 Please take your time to at least rateme since I took mine to do this for you

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