Math
posted by Nick .
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: 5point coupons and 2point coupons. So far, she had collected 23 coupons, worth 76 points. How many 5point and 2point 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: 5point coupons and 2point coupons. So far, she had collected 23 coupons, worth 76 points. How many 5point and 2point 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=23t. Substitute that into (2) for for f to get
5*(23t) + 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 5point coupons and 8 2point coupons so easy!!!!!!!!!!!
Fourteen 5pt and eight 2pt will not satisfy the equations . First, they add to 22 and not 23. The problem stated the total number of coupons was 23. Fourteen 5pt will be worth 70. Eight 2pt will be worth 16 and that adds to 76. However, BOTH equations must be satisfied so 14 and 8 are not correct.
12 5pt 8 2pt
12 + 8 is 20 and not 23. That doesn't work either. Solve the two equations to obtain the correct answer.
y=212x
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 = 212x
10 5point coupons and 13 2point 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
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