Hurry please! The table shows the results of a survey about favorite movie theater snacks.Write a fraction in simplest form that
compares the number of people who chose popcorn to the total number of people surveyed.
1 answer:
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The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let and
be, respectively, the number of girls and boys.
We know that (the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system
We can use the first equation to substitute in the second
And then solve for :
For the second problem, let and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Answer:
1.
2.
3.
Step-by-step explanation:
<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />
1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:
The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:
Knowing that she spends $10, you can write the following equation:
2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":
3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get: