s +h = 1070 ( total number of downloads)
Rewrite as s =1070 - h
2.9s + 4.4h = 4393 ( total download size)
Substitute:
2.9(1070-h) + 4.4h = 4393
Simplify:
3103 - 2.9h + 4.4h = 4393
Combine like terms:
3103 + 1.5h = 4393
Subtract 3103 from each side:
1.5h = 1290
Divide both sides by 1.5:
h = 1290 / 1.5
h = 860
Replace h with 860 in first equation to solve for s:
s + 860 = 1070
s = 1070 - 860
s = 210
There were 210 standard downloads and 860 high quality downloads
Answer:
The cost of soft pretzel is $1.25
Step-by-step explanation:
Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.
1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then
9x+5y=33.25.
2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then
4x+6y=19.50.
3. Solve the system of two equations:
Multiplythe first equation by 4, the second equation by 9 and subtract them:
Then
So our two equations are y=-8x-4 and y=-16, and since in both equations, something equals the same y, those two are the same. So we can combine the two into -16=-8x-4. In the question, they are asking to solve for x. So to do that, you need to isolate your variable. Now for solving algebraic equations, you use reverse PEMDAS (SADMEP), meaning you add 4 to both sides to clear the -4 one the rights side to get -12=-8x. Then you divide both sides by -8 to get 12/8, which simplifies to 3/2.
