Answer this please!!!
Noelani was saving Luscious Lemon soda coupons, which came in the caps of the Luscious Lemon sodo bottles. There were two kinds of coupons: 5-point coupons and 2-point coupons. So far, she had collected 23 coupons, worth 76 points. How many 5-point and 2-point coupons did Noelani have?
Noelani was saving Luscious Lemon soda coupons, which came in the caps of the Luscious Lemon sodo bottles. There were two kinds of coupons: 5-point coupons and 2-point coupons. So far, she had collected 23 coupons, worth 76 points. How many 5-point and 2-point coupons did Noelani have?
Let X = # of 5 pt coupons.
Y = # of 2 pt coupons.
We know X + Y = 23
and we know the total number of points which is 76.
5X + 2Y = 76
You have two unknowns and two equations. Solve for X and Y. Post your work if you run into trouble.
Ok we have two types of coupons Let f and t denote the number of five and two pointers respectively. Then
(1) f + t = 23
(2)5*f+2*t=76
From (1) f=23-t. Substitute that into (2) for for f to get
5*(23-t) + 2*t=76 or
5*23 -5t +2t = 76
Now solve for t, then solve for f using (1).
You could also have recognized this as a system of linear equation and added -5 times (1) to (2) and solved for t that way too. Either method will give the same result. For two variables, using the substitution way is usually the faster one to use.
14 5-point coupons and 8 2-point coupons so easy!!!!!!!!!!!
Fourteen 5-pt and eight 2-pt will not satisfy the equations . First, they add to 22 and not 23. The problem stated the total number of coupons was 23. Fourteen 5-pt will be worth 70. Eight 2-pt will be worth 16 and that adds to 76. However, BOTH equations must be satisfied so 14 and 8 are not correct.
12 5-pt 8 2-pt
12 + 8 is 20 and not 23. That doesn't work either. Solve the two equations to obtain the correct answer.
y=21-2x
If you have a question you should post it separately under "Post a New Question" at the top of this page. You should also explain what you want done with the equation y = 21-2x
10 5-point coupons and 13 2-point coupons.
Let X = # of 5 pt coupons.
Y = # of 2 pt coupons.
We know X + Y = 23
and we know the total number of points which is 76.
(5 x x=10) + (2 x y=13) = 76
50 + 26 = 76
i hve no idea
To solve this problem, you can set up a system of equations. Let X represent the number of 5-point coupons and Y represent the number of 2-point coupons.
The first equation you can create is X + Y = 23, since the total number of coupons collected is 23.
The second equation is 5X + 2Y = 76, since the total number of points obtained is 76.
To solve this system of equations, you have a few options. One option is to solve one equation for one variable and substitute it into the other equation. In this case, you can solve the first equation for X or Y.
If you solve the first equation for X, you get X = 23 - Y. You can then substitute this expression for X in the second equation:
5(23 - Y) + 2Y = 76
From there, you can simplify and solve for Y. Once you find the value of Y, you can substitute it back into the first equation or the expression for X to find the value for X.
Another option is to use matrix algebra or graphing to find the intersection point of the two equations, which represents the solution for X and Y.
By solving the system of equations, you will find the values for X and Y, which represent the number of 5-point coupons and 2-point coupons collected by Noelani.