Answer: x = 0
<u>Step-by-step explanation:</u>
4(7 - 3x) = 7(4 - 2x)
28 - 12x = 28 - 14x <em>distributed</em>
28 + 2x = 28 <em>added 14x to both sides</em>
2x = 0 <em>subtracted 28 from both sides</em>
x = 0 <em>divided both sides by 2</em>
Bread - 3 choices
Meat - 5 choices
Veggies - 7 choices
1br 1mt 1vg = 3×5×7 = 105
1br 2mt 3 vg = 3×5×4×7×6×5 =12600
7vg 1br = 3×1 = 3
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I</em> is the amount of interest, <em>p</em> is the principal borrowed, <em>r</em> is the interest rate written as a decimal number, and <em>t</em> is the amount of time in years. First we find the amount of interest. He borrowed $35000 but paid back $46375. That means he paid 46375-35000 = $11375 in interest. We can now substitute our information into our interest formula:
11375=35000(<em>r</em>)(5)
11375=35000(5)(<em>r</em>) ----- remember that multiplication is commutative
11375=175000<em>r</em>
Divide both sides by 175000 to cancel it:
11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
Answer:
11
Step-by-step explanation:
x = number of adult tickets
y = number of children tickets
9x + 6y = 1053
x+y = 127 so x = 127 - y
replace x = 127 - y into 9x + 6y = 1053
9(127 - y) + 6y = 1053
1143 -9y + 6y = 1053
-3y = 1053 -1143
-3y = -90
y = 30
x = 127 - 30
x = 97
answer: 97 adults and 30 children
