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A drummer a stocking up on his drum socks and brushes The wood tacks that ho buy

ID: 3101154 • Letter: A

Question

A drummer a stocking up on his drum socks and brushes The wood tacks that ho buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on seeks and brushes and buys two times as many pairs of stick as brushes. Write and solve a system of equations to find out how many sticks and brushes he bought. Brinan has one less than twice the number of CD's that Man has Together they have 85 CD's. Write and solve a system of equations to find out how many CD's each boy has In 1990 the population of a New Orleans was 497,000 and was decreasing by 6,000 people per year m 1990 the population of Phoenix was 983.000 art was increasing by 20,000 people per year Assuring these trends had been going on for some time, write and solve a system of equations to find out how many years before 1990 did each each city haw the same population. Steve has $5.00 In quarters and dimes. He has 8 more dimes than quarters Write a system of equations to find out how many dimes and quarters he has.

Explanation / Answer

9. Set up to equations to solve and plug into one another. X=sticks and Y=brushes. Use the data from the problem to make the first equation. 10.50(x)+24(y)=90 the second equation is made from gathering information from the second half of the problem. He buys 2times as many stick as brushes. so....2y=x Solve for y. 10.5(2y)+24y=90 21y+24y=90 45y=90 y=2 2(2)=x he buys 2brushes and 4sticks. 10. Form two equations from the data given. b=2*m-1 b+m=55 solve for m. 2m-1+m=55 3m=54 m=18 b=2(18)-1 Matt has 18. Brian has 35. 11. 497,000+6000(x years)=953,000-20000(xyears) 1990-x=what year. 497000+6000x=953000-20000x 26000x=456000 x=17.53 years 1990-17.53=1972 In 1972 They had the same population. 12. .25q+.1d=5 8+q=d .25q+.1(8+q)=5 .25q+.8+.1q=5 .35q+.8=5 .35q=4.2 q=12 8+12=d 20=d He has 12 quarters and 20 dimes.

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