Let cost of 1 box of red pen = x
Let cost of 1 box of black pen = y
Gaga bought 5 red box and her sister 4 black box then total cost is given by
5x+4y
Given that total cost was $44
so equation will be 5x+4y=44...(i)
After exchange
Gaga= 4 red box + 1 Black box
Sister = 1 red box + 3 Black box
then cost for Gaga = 4x+1y
cost for sister = 1x+3y
Given that cost for both after exchange is same so we get
4x+1y = 1x+3y
or 4x-1x = 3y-1y
or 3x = 2y
or 3x/2=y ...(ii)
plug (ii) into (i)
5x+4y=44
5x+4(3x/2)=44
5x+12x/2=44
5x+6x=44
11x=44
x=4
Now plug value of x into (ii)
y=3x/2=3*4/2=12/2=6
Hence cost of 1 box of red pen = $4
And cost of 1 box of black pen = $6
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If you want to get solution without solving both equations then just graph both equations and find the intersection point.
You will see that graph intersect at (4,6) which gives x=4, y=6
Answer:
1/8
Step-by-step explanation:
If you add 1/3 +1/8 to get the housing this year you get 11/24 then add that by 1/3 and 1/4 and you will get 25/24 or 1 1/24 then you add last year 1/3+1/4+1/3 and get 22/24 at last you subtract 25/24 by 22/24 and get 3/24 which equals to 1/8 I hope this helps
We are given with the principal amount of <span> $1 million and is asked in the problem to calculate for the money supply given the reserve ratio is 15%. The formula that is applicable to this problem is F = P / r where P is the principal amount, r is the ratio and F is the future/ money supply. In this case, upon substitution, F = $1 m million / 0.15 = $6.67 million. The money put into reserve is expected to increase after putting into reserve. The lower the reserve ratio, the higher the money supply will be. Conversely, the higher the principal amount, the higher the money supply.</span>
Answer:
x = 6
Step-by-step explanation:
10x-5 = 7x+13 1. -7 on both sides
3x-5 = 13 2. +5 on both sides
3x = 18 3. /3 on both sides
x = 6