1) A company placed $1,000,000 in three different accounts. It placed part in short-term notes paying 4.5% per year, twice as much in government bonds paying 5%, and the rest in utility bonds paying 4%. The income after one year was $45,500. How much did the company place in each account?
2) A stadium has 49,000 seats. Seats sell for $25 in Section A, $20 in Section B and $15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,052,000 from each sold-out event. How many seats does each section hold?
3) A change machine contains nickels, dimes and quarters. There are 75 coins in the machine, and the value of the coins is $7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine.
2007-12-16 11:29:24 · 2 answers · asked by young n' free. 4 in Science & Mathematics ➔ Mathematics
I need THREE equations for each problem.
I know how to solve from there!
2007-12-16 11:30:32 · update #1
Problem 1: Let S, G, and U be the amounts placed in short-term notes, government bonds, and utility bonds.
S + G + U = 1 000 000
G = 2 S
S ( .045 ) + G ( .05 ) + U ( .04 ) = 45 500
Problem 2: Let A, B, and C be the number of seats sold in those respective sessions.
A + B + C = 49 000
A = B + C
A ( 25 ) + B ( 20 ) + C ( 15 ) = 1 052 000
Problem 3: Let N, D, and Q be the number of nickels, dimes, and quarters.
N + D + Q = 75
N ( .05 ) + D ( .10 ) + Q ( .25 ) = 7.25
N = 5 D
2007-12-16 11:39:05 · answer #1 · answered by jgoulden 7 · 1⤊ 0⤋
Sec A = Sec B + Sec C ---> 2A = 49000 ---> A = 24,500 seats
1052000-(A*25*24500) = B*20 + C*15
2007-12-16 11:54:34 · answer #2 · answered by c s 1 · 0⤊ 0⤋