SOLUTION: 1) The music teacher at your school buys and sells fresh fruit to help raise funds to support the school concert band. One day the total order for bags of oranges and bags of apple
Algebra.Com
Question 202047: 1) The music teacher at your school buys and sells fresh fruit to help raise funds to support the school concert band. One day the total order for bags of oranges and bags of apples cost $33.00 exactly. If 15 bags of fruit were purchased, how many bags contained oranges?
BY THE BAG
ORANGES $5.00
APPLES $2.00
2)The Outdoors Club held a car wash to raise money. They washed cars for $5 each and vans for $7 each. They washed 45 vehicles and made $243. How many of each type of vehicle did they wash?
3)One type of granola is 30% fruit, and another type is 15% fruit. What mass of each type of granola should be mixed to make 600g of granola that is 21% fruit?
4). One lawn fertilizer is 24% nitrogen and another is 12% nitrogen. How much of each fertilizer should be mixed to obtain 100kg of fertilizer that is 21% nitrogen?
plzzzz help! thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two problems to get you going in the right direction.
# 1
Let
x = number of bags of oranges purchased
y = number of bags of apples purchased
Because "15 bags of fruit were purchased", we know that
Since the oranges are $5 a bag and the apples are $2 a bag, and a total cost was $33, this means that
So we have the system of equations:
Start with the first equation.
Subtract from both sides.
Rearrange the terms.
-------------------------------------------
Now plug in into the second equation.
Distribute.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
-------------------------------------------
Since we know that , we can use this to find .
Go back to the first equation.
Plug in .
Subtract from both sides.
Combine like terms on the right side.
=============================================================
Answer:
So the solutions are and .
This means that 1 bag of oranges and 14 bags of apples were purchased
# 2
Let
x = number of cars washed
y = number of vans washed
Because "They washed 45 vehicles", we know that
Also, since "They washed cars for $5 each and vans for $7 each" and "made $243", we get that
So we have the system of equations:
Start with the first equation.
Subtract from both sides.
Rearrange the terms.
-------------------------------------------
Now plug in into the second equation.
Distribute.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
-------------------------------------------
Since we know that , we can use this to find .
Go back to the first equation.
Plug in .
Subtract from both sides.
Combine like terms on the right side.
=============================================================
Answer:
So the solutions are and .
This means that they washed 36 cars and 9 vans
RELATED QUESTIONS
The music teacher at your school buys and sells fresh fruit to help raise funds to... (answered by rfer)
The school band sells tickets to raise money for a trip. The band spends $236 on food and (answered by ankor@dixie-net.com)
THE STUDENT COUNCIL AT RAHKENROLE HIGH SCHOOL IS PLANNING A CONCERT. THEY'VE HIRED THE... (answered by stanbon)
You want to hire a live band for a school dance. You have $175 in your budget. The live... (answered by stanbon)
you belong to a school organization that is trying to raise money for its annual trip to... (answered by josmiceli)
A school band’s budget for next year will be at least $11,340 and at most $12,390. The... (answered by MathLover1)
There are 35 students in the high school band. They need to pick four students to... (answered by ikleyn)
Tammy is selling tickets for the school jazz band concert. Adult tickets cost $5, and... (answered by richwmiller)
suppose your school is having a dinner to raise money for new music and art supplies. You (answered by josgarithmetic)