Answer:
Step-by-step explanation:
This is a system of equations. The 2 equations are:
4c + 2p = 16
2c + 3p = 12
Let's get rid of the p's first. Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:
-12x - 6p = -48
4c + 6p = 24
Now add to get
-8c = -24 and
c = 3
That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:
4(3) + 2p = 16 and
12 + 2p = 16 and
2p = 4 so
p = 2
The price for peanuts is $2 per pound.
Answer:
1
Step-by-step explanation:
Answer:
Original price reduced by 30%
Step-by-step explanation:
You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.
To find c, you must isolate it.
To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7
To divide fractions, follow these steps:
Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator.
5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction.
13/14 • 7/5
13 • 7 = 91
14 • 5 = 70
13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible.
91/70
Since 70 can go into 90, you can turn this into a mixed number.
1 and 21/70
Now simplify 21/70.
Both can be divided by 7.
21 ÷ 7 = 3
70 ÷ 7 = 10
So simplified, 91/70 equals 1 and 3/10.
As a decimal, this is 1.3.
So the answer is c = 1.3, or 1 and 3/10.
Hope this helps :)
4/5 = (4 + 8)/x
4x = 5(12) = 60
x = 60/4 = 15
