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Amiraneli [1.4K]
4 years ago
8

A 9kg bag of mangoes for $12 is

Mathematics
1 answer:
matrenka [14]4 years ago
3 0
A 9 kg bag of mangoes for $12 is. Given is the bulk unit rate of the mangoes. Let’s solve for the unit rate of each mango and its price. => Let’s analyze the given situation. It is said that in 9 kilograms of bag of mangoes, the costs of all of it is 12 dollars. Find how much the cost of 1 kg bag of mangoes is. => 12 dollars divided by 9 kilograms to get the value of 1kg bag of mangoes => 12 / 9 = 1.3 Thus, the unit rate is 1.3 dollars / kg
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jeka57 [31]
Let s be the number of strawberry cupcakes, and c the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is  180, so c+s=180. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so c-18=2s, or solving for c: c=2s+18.
Know we have our system of equations:
\left \{ {{c+s=180} \atop {c=2s+18}} \right.
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.

Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>c=2s+18; lets replace that value in our first equation to find the number of strawberry cupcakes:
2s+18+2=180
3s=162
s= \frac{162}{3}
s=54
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>c=2(54)+18
c=108+18
c=126
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
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