For this case we propose a system of equations:
x: Represents the amount of small popcorn tubs
y: Represents the amount of large popcorn tubs
According to the data we have to:
(Spending all the money in your wallet)
(Buying 7 popcorn tubs)
From the second equation we have:

Substituting in the first equation:

Thus, Katie can buy 3 large tubs of popcorn.
So:

In addition, you can buy 4 small tubs of popcorn.
Answer:
3 large popcorn tubs.
4 small popcorn tubs.
Answer:
x + 11 = 10
Step-by-step explanation:
Let the required number be x.
Quotient = x + 4 + 7 = 10
= x + 11 = 10
Answer:
a. x = 5, AB = 14, BC = 8
Step-by-step explanation:
✔️Both triangles are similar, therefore their side lengths are proportional to each other.
Thus:

Cross multiply


Collect like terms


✔️AB = 2x + 4
Plug in the value of x
AB = 2(5) + 4
AB = 14
✔️BC = x + 3
Plug in the value of x
BC = 5 + 3
BC = 8