Can someone plz plz help me with this question

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

murzikaleks [220]

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

8 0

3 years ago

Simplify -6 to the power of 2 divided by 12- 2(-7).

Ilia_Sergeevich [38]

Answer: 18

Step-by-step explanation: -36 / -2 simply

3 0

4 years ago

A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leak

Tems11 [23]

Answer:

54

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.

7 0

3 years ago

Find the measure of JK that makes Triangle JLK- triangle PLM

tensa zangetsu [6.8K]

Just take both sides multiply by 2 then divide 3

8 0

3 years ago

A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width?

Zina [86]

Answer:

Width: 1694 cm or 16.94 m

Length: 1706 cm or 17.06 m

Step-by-step explanation:

1. Write out the known equations:

First, the equation for the perimeter of a rectangle:

$Perimeter = 2(Width) + 2(Length)$

We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:

$Length=Width+12$

2. Solve the system of equations for width:

Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:

$Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}$

Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):

$Width=\frac{6800-2(Width+12)}{2}$

Now, solve the equation for width:

$Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm$

3. Solve for length using width:

Now that we know the width, we can easily solve for the length using our previously established equation for length, $Length=Width+12$ , as shown:

$Length=Width+12\\Length=1694+12\\Length=1706cm$

4. Convert to metres.

If you want to know the answer in metres, you can convert from centimetres by dividing by 100:

1694/100 = 16.94 m

1706/100 = 17.06 m

4 0

2 years ago

Can someone plz plz help me with this question​

Can someone plz plz help me with this question