Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
Answer:
The average cost of one mango = c = ₦8
Step-by-step explanation:
Let 'c' be the average cost of one mango
The original amount Idahtonye has = ₦50.00
The amount of mangoes Idahtonye buys = 6 mangoes
As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.
Thus the equation becomes
50 - 2 = 6c
48 = 6c
dividing both sides by 6
48/6 = 6c/6
c = 8 ₦
Therefore, the average cost of one mango = c = ₦8
Answer:
v = -5
Step-by-step explanation:
Step 1: Write out equation
-8 + 5v = -33
Step 2: Add 8 on both sides
-8 + 8 + 5v = -33 + 8
5v = -25
Step 3: Divide both sides by 5
5v/5 = -25/5
v = -5
Answer:
If you are a freshman, then you are required to attend orientation
Step-by-step explanation:
The if part is the given part
The then part is what is going to happen
If you are a freshman, then you are required to attend orientation
Answer: 12
40% = 40/100 = 0.40
"of" means "multiply" in percent word problems like this. Multiply 0.40 with 30 to get 0.40*30 = 12
Optionally, you can solve the equation below for x
part/whole = percent/100
x/30 = 40/100
x/30 = 0.40
x = 0.40*30
x = 12
much of those steps follow a similar pattern to what was mentioned earlier.
