$\therefore \: (2x) \degree + 40 \degree = 90 \degree \\ \\ \therefore \: (2x) \degree = 90 \degree - 40 \degree \\ \\ \therefore \: (2x) \degree = 50 \degree \\ \\ \therefore \: 2x = 50 \\ \\ \therefore \: x = \frac{50}{2} \\ \\ \huge \red{ \boxed{ \therefore \: x = 25}}$

8 0

4 years ago

Solve the following word problem using any method. Show your work.

VLD [36.1K]

Let's set up two equations:
x+y=20 We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450

x+y= 20
-y -y
------------
x= 20 -y

substitute into the other equation:
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5

So she brought 5 big cases. Then substitute the value of y into one of the equations.

5+ x = 20
x= 15

So we bought 15 small cases and 5 big cases.

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!

5 0

3 years ago

Read 2 more answers