The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
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Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:

The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
Just calculate second term - first term = -4 - (-15)
Let h be the price of a hamburger, d be the price of a hot dog and c be the price of a cheeseburger
3+d=h —(1)
c-20=h —(2)
3h=2d+2c-75 —(3)
Sub (1), (2) into (3)
3h=2(h-3) + 2(h+20) -75
3h =2h-6+2h+40-75
3h=4h-41
h=41
Therefore, the price of a hamburger is $41