Algebra 2. Need Help

I have two problems.

1.) One type of candy sells for $2 per pound and another type sells for $3 per pound. An order
for 18 pounds of candy costs $47. How much of each type of candy was purchased?

2.) A riverboat travels 140 miles downstream in 10 hours and the return trip takes 14 hours.
What is the speed of the current?

1).
One type of candy sells for $2 per pound and another type sells for $3 per pound.
An order for 18 pounds of candy costs $47.
How much of each type of candy was purchased?
Let x = lbs that sell for $2 and y = lbs that sell for $3.
x + y = 18
2x + 3y = 47
.
2x + 2y = 36
2x + 3y = 47

y = 11
.
y = 11 lbs
x = 7 lbs

2).
A riverboat travels 140 miles downstream in 10 hours and
the return trip takes 14 hours.
What is the speed of the current?

The distance formula is: d = distance, r = rate, t = time

Let x = speed of the boat
let c = speed of the current

The rate upstream is: x - c
time upstream is: 14 hrs
The rate down stream is: x + c
time downstream is: 10
Distance for both is: 280 mi

The equation for upstream is:
14(x - c)=140
The equation for down stream is:
10(x + c)=140