Wyatt is going to a carnival that has games and rides. Each game costs $1. 25 and each ride costs $2. 75. Wyatt spent $20. 25 al
1 answer:
In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The number of unknown objects can be find using the system of solution.
Given information-
The cost of each game is $1.25.
The cost of each ride is $2.75.
Total amount of money spent by the Wyatt is $20.25.
The number of rides he went on is twice the number of games he played.
Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>
As, the number of rides he went on is twice the number of games he played. Thus,
Let the above equation as equation one.
As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,
Put the value of y in the above equation from the equation one as,
Thus the number of games he played is 3.
Put this value of <em>x </em>in the equation one as,
Thus the number rides Wyatt went on is 6.
Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.
Learn more about the system of equations here;
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-5/12 × 8/13
First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.
Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4.
Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction.
Answer in fraction form:
Answer in decimal form:
First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.
Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4.
Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction.
Answer in fraction form:
Answer in decimal form: