1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iragen [17]
3 years ago
10

smoothie sales are on fire. the price is $3 for an adult and $1 for children. if 260 smoothies were sold for a total of 675.00 h

ow many adults purchased smoothies? how many children?
Mathematics
1 answer:
sweet [91]3 years ago
5 0

Answer:

  • 207.5 adult
  • 52.5 children

Step-by-step explanation:

If "a" represents the number of adult smoothies sold, then 260-a is the number of smoothies sold to children. The total revenue is ...

  3a +1(260-a) = 675

  2a +260 = 675 . . . . . . eliminate parentheses

  a + 130 = 337.5 . . . . . . divide by 2

  a = 207.5 . . . . . . . . smoothies sold to adults

  260-a = 52.5 . . . . . smoothies sold to children

_____

For the given numbers, this is the way it works out. The "half" values suggest there is a typo somewhere, possibly in the curriculum material. Talk to your teacher about this one.

You might be interested in
A tortoise is walking in the desert. It walks for 4.8 meters at a speed of 3 meters per minute. For how many minutes does it wal
kirill [66]
It is normally smart to write out a diagram of some sort to help you visualize the situation. I made one for this situation, although it might now suit you as well as it would me. 

The idea behind this problem is to make you understand rates. Rates being the same thing as a slope. If you have learned about that already then that will help a lot, but if you haven't then that's fine. 

So we have 4.8m and we traveled at a speed of 3 meters per 1 minute. A rate you are probably pretty familiar with is mph. Which is Miles per Hour. Or if you don't live in the U.S. Kmph. Which is Kilometers per Hour. 

What you do to solve these type of problems is you take the given value and you use the rate to get the value you want.

The easiest way to do this is to make sure the signs (Meters) "cancel" out.  

4.8m * (1min / 3m) 

To cancel something out you need to have it over itself. Here are a few examples: 

3/3 = 1
4/4 = 1 
100,000/100,000 = 1
598/598 = 1

In the case of units, such as meters. They go *poof* from the problem. 
So we have this problem: 
(4.8m*1 minute) / 3m = ? minutes

4.8/3 = 1.6


If you want the answer in fractional form... here is how you do it: (I won't explain it because you most likely won't need to do this, but if you want to know how to do it then just ask)

4(8/10) 
4(4/5)
(24/5)/3 
(24/5) * (1/3) 

24/15
8/5 is our final fractional answer!

5 0
3 years ago
A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then ret
Vitek1552 [10]

Answer:

20

Step-by-step explanation:

6 0
2 years ago
How do you simplify ( 11-7)+3 using order of operations?
alex41 [277]
I think this is

4+3 = 7.

.. :))
4 0
3 years ago
Read 2 more answers
Can anyone help with this
vesna_86 [32]
I would be able to but i left my maths book at school and that has the explanation in, sorry :(
8 0
3 years ago
Read 2 more answers
Can someone please help me please
Assoli18 [71]
A
Volume of the Cylinder
Givens
H = 60 yards.
Diameter = 20 yards
pi = 3.14

Formula
V = pi * r^2 * h

Calculations
r = d/2
r = 32/2
r = 16

V =  3.14 * 16^2 * 60 
V = 48230 cubic yards [Cylinder's Volume]

Cone
<em>Formula</em> 
V = 1/3 pi r^2 H

<em>Givens</em>
pi = 3.14
r = 16 yards
h = 20 yards

<em>Sub and solve</em>
V = 1/3 3.14 * 16^2 * 20
V = 5359 cubic yards.

<em>Total Volume of the structure</em>
48230 + 5359 = 53589 Cubic Yards

<em>Water Content</em>
The answer to this part requires a proportion.

1 Cubic yard will hold 201.97 gallons.
53589 yd^3 = x

1/201.97 = 53589 /x  [ You should get a pretty big answer]
x = 201.87 * 53589
x = 10 819 092 gallons can be held by the tank. 

10 819 092 gallons <<<< answer

B 
If the height of both the cylinder and the cone remain the same. If the radius doubles in both the cylinder and the cone then the tank will hold 4 times as much. 

Total volume before doubling the radius = pi * r^2 h + 1/3 pi r^2 h
New Total Volume = pi * (2*r)^2 h + 1/3 pi * (2r)^2 h
New Total volume = pi * 4r^2 h + 1/3 pi *4 r^2 h
New Total Volume = 4 [pi r^2 h + 1/3 pi r^2 h]
but pi r^2 h + 1/3 pi r^2 h is the total volume before doubling the radius

New volume = 4 original volume. <<<<< answer to part B
6 0
3 years ago
Other questions:
  • 99 POINTS POSSIBLE, PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Bella decides she wants to make a fruit snack
    11·1 answer
  • Which of the following shows the correct value of the square root of 175?
    7·2 answers
  • What is the solution set to the equation (3x+4)^2=7
    10·1 answer
  • P(x) = x4 − 9x2 − 4x 12? what some roots
    9·2 answers
  • Convert to the nearest tenth.
    13·2 answers
  • Use the equation 15% = 10% + 5% to find a 15% tip on a bill of $14.85. (Round the bill to the nearest dollar before finding the
    13·1 answer
  • Which is the best estimate of 162% of 79?
    5·2 answers
  • HELP <br> What is angle 1,2,3,4
    7·1 answer
  • 11. At Price Chopper you are purchasing groceries and the bill comes out to be
    8·1 answer
  • Which expression is equivalent to 21/15 - 915?<br> A. 12<br> B. 30 15<br> c. 125<br> D. 12 15
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!