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tensa zangetsu [6.8K]
3 years ago
7

Quiana has 5 times more text messages from Yolanda than from Pierre. Quiana has 30 text messages from Yolanda. Which equation ca

n be used to find how many text messages Quiana has from Pierre, p?
Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0

Answer:

p=\frac{30}{5}

Step-by-step explanation:

Quiana has 5 times more text messages from Yolanda than from Pierre, we also know that she actually has 30 text messages from Yolanda. In other words, 30 texts from Yolanda is 5 times more text messages than from Pierre.

Thus, if we call p the number of texts messages from Pierre we would have that

p=\frac{30}{5} (since 30 texts from Yolanda is 5 times more than p, we can divide by 5 to find p)

And if we solve this equation we would get that Quiana has 6 text messages from Pierre

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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  

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Answer:

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Step-by-step explanation:

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