Eight times a number minus twenty-three is no more than the opposite of that number plus eighteen. Find that number.

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

8x - 23 = -x + 18 is how I'm interpreting your query.

"the opposite of the number" is slightly confusing, so I'm assuming you mean a negative. If not, please let me know.

We can solve for x using this equation.

8x - 23 = 18 - x

Add x to both sides

9x - 23 = 18

Add 23 to both sides

9x = 41

Divide both sides by 9

x = 4.56

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irakobra [83]

In this question, some of the data is missing so its a complete question and the solution can be defined as follows:

$\bold{\text{m = matinee tickets}} \\\\\bold{\text{s = student tickets}}\\\\\bold{\text{r = regular tickets}}$

By given question, calculating equations are:

$\to \bold{m + s + r = 8500}............................................(a)\\\\\to \bold{5m + 6s + 8.50r = 64600}............................(b)\\\\\to \bold{s = 2m}...................(c)$

Putting the equation (c) value in the equation (a) to calculate value:

$m + 2m + r = 8500\\\\3m + r = 8500\\\\r = 8500 - 3m........................................(d)$

Putting equation (c) and (d) value into equation (b):

$5m + 6(2m) + 8.50(8500 - 3m) = 64600\\\\5m + 12m + 72250 - 25.50m = 64600\\\\-8.50m = 64600 - 72250 \\\\-8.50m = -7650\\\\m = \frac{-7650}{-8.50}\\\\m = \frac{7650}{8.50}\\\\m = 900$