Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Us
1 answer:
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Answer:
n = 20
Step-by-step explanation:
If we call "a number" <em>n</em>, the equation modelling that statment is:
Now, if we have one whole thing - 5/5 - and add 1/5 of that thing, we'll have a total of 6/5 of it. By that same logic, 1/5 of n + 5/5 of n = 6/5 of n. We can write that fact as
So, we slice this number <em>n</em> up into 5 equal parts, we take 6 of those slices, and that gets us a total value of 24. What would the value of just 1 slice - a single fifth of <em>n</em> - be? Well, we'd just need to divide 24 by 6 to find that
And if 1/5 of something is 4, that whole thing, 5/5, must be 5 × 4, or 20! Writing that step out in symbols, we have
So n = 20.