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
Arada [10]
3 years ago
12

A dairy sells $3 and $5 ice creams. In one day they sell 50 ice creams earning a total of $180. How many of each type of ice cre

am does the dairy sell?
Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
Equation 2 ----          3x + 5y = 180  Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides.  (I could have done subtracted x - it did not matter).       Now we have x= ₋ y +50  (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50

3 (-y +50) + 5y = 180   
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

You might be interested in
A lifeguard received 15 hours of first aid training and 10 hours of cardiopulmonary resuscitation training what is the ratio of
aivan3 [116]

Answer:

The ration of 15 to 10 is 3/2

Step-by-step explanation:

5 0
3 years ago
Plz help I need it by today
neonofarm [45]

Answer:

2688x^2 + 3640x + 1225

Step-by-step explanation:

multiply the expression

5 0
3 years ago
Read 2 more answers
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​
Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
8 0
3 years ago
3.
Naddika [18.5K]
It would take 630 seconds to boil the water.

7 0
3 years ago
What is 6.1 divided by 9<br> (step by step)
QveST [7]
Use division or long division (ignore the decimal point)
Then put the decimal in the same spot as the dividend (the number being divided)
6 0
3 years ago
Read 2 more answers
Other questions:
  • Use the quadratic formula to find the solutions to the equation x^2-3x+1=0
    12·1 answer
  • A volleyball player has a a assists per game during a 5 game match. The volleyball player has 30 assists during the entire match
    7·2 answers
  • Solve the inequality
    8·1 answer
  • 3(2k-5)=6(k-4)+9
    15·2 answers
  • Which expression is equivaien. to 6 (3x + 4)?
    9·1 answer
  • Please please i need help i did not understand it<br> please do it .........
    13·2 answers
  • HELPP PLEASE AND GET POINTS
    11·1 answer
  • Write y = 2x + 8 in standard form.​
    8·1 answer
  • Solve this equation: m - 3.6 = 13.8
    15·1 answer
  • Please help with this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!