(1) R+G+B=50
(2) R=B+6
(3) G=B-4 so substitute G in (1)
R+B-4+B=50 substitute (2) in here
B+6+B-4+B=50 group like terms and solve
3B+2=50
3B=50-2
B=48/3=16 substitute in (2) and (3)
R=16+6=22
G=16-4=12
Check
22+12+16=50✅
The ratio of boys to girls is 3/5.
check the picture below.
so x = b + b = √(180) + √(180).
Answer:
c+p = 53
2.5c+1.5p = 105.5
p = 27
c= 26
Mrs. Johnson earned 65
Mr Smith earned 40.5
Mrs Johnson earned 24.50 more
Step-by-step explanation:
Let c = cookies sold
p = popcorn sold
The number of items sold is 53
c+p = 53
The total cost of the items sold is 105.50
The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50
2.5c+1.5p = 105.5
System of equations:
c+p = 53
2.5c+1.5p = 105.5
Multiply the second equation by 10 to clear the decimals
10 *(2.5c+1.5p) = 10*105.5
25c+15p = 1055
Divide by 5
25c/5 +15p/5 = 1055/5
5c+3p =211
Multiply equation 1 by -5
-5(c+p)=-5*53
-5c-5p=-265
Add the equations
5c+3p =211
-5c-5p=-265
---------------------
-2p = -54
Divide by -2
-2p/-2 = -54/-2
p = 27
Now we need to find c
c+p = 53
c+27 = 53
Subtract 27 from each side
c+27-27 = 53-27
c= 26
Mrs. Johnson earned the number of cookies times 2.5
c* 2.5
26*2.5 =65
Mr Smith earned the number of popcorn times 1.5
p*1.5
27*1.5
40.5
Mrs Johnson earned 65-40.5 = 24.50 more
