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Oxana [17]
3 years ago
12

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $

5.35. What is the cost per pound of the mints?
A.mints are 65¢ per lb
B.mints are 75¢ per lb
C.mints are 85¢ per lb
Mathematics
2 answers:
lesya692 [45]3 years ago
7 0
3 * C + 2 * M = 10.8

1 * C + 3 * M = 5.35

C = 3.1 $

M = 0.75 $ p

so B
Tasya [4]3 years ago
3 0
3c + 2 m = 10.80
1c + 3m = 5.35

Rewrite the second equation as: c = 5.35 - 3m
Now plug this new equation into the first equation in place of the c.

3(5.35 - 3m) + 2m = 10.80
16.05 - 9m + 2m = 10.80
Combine like terms
16.05 - 7m = 10.80
Subtract 16.05 from both sides
-7m = 10.80-16.05
-7m = -5.25
Divide both sides by -7
m = 5.25
m - .75
Letter B 75 cents per pound
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2 years ago
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3 years ago
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Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r
igomit [66]

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8 0
2 years ago
At a carnival, 700 tickets were sold for a total
Diano4ka-milaya [45]

Answer:

The adult tickets are <u>400</u> and the children tickets are <u>300</u>.

Step-by-step explanation:

Given:

At a carnival, 700 tickets were sold for a total  amount of $5500. An adult ticket cost $10   and a children's ticket cost $5.

Now, to find the  number of adult tickets and the number of  children's tickets sold.

<em>Let the number of adult tickets be </em>x.<em />

<em>And let the number of children tickets be </em>y.<em />

So, the total number of tickets sold:

x+y=700\\\\y=700-x\ \ \ ....(1)

Now, the total amount of tickets:

x(10)+y(5)=5500

Substituting the value of y from equation (1):

x(10)+(700-x)(5)=5500\\\\10x+3500-5x=5500\\\\5x+3500=5500

<em>Subtracting both sides by 3500 we get:</em>

<em />5x=2000<em />

<em>Dividing boths sides by 5 we get:</em>

x=400.<u />

<u>The number of adult tickets = 400.</u>

Now, substituting the value of x in equation (1) we get:

y=700-x\\\\y=700-400\\\\y=300.

<u>The number of children tickets = 300.</u>

Therefore, the adult tickets are 400 and the children tickets are 300.

8 0
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