Week 6 Flashcards
(7 cards)
Weighted Average (given mixture %)
& Weighted Average (given amount consumed)
(I can’t use differentials here because I don’t have
the end % to use. I must therefore set up a system
of equations, or just think through it logically. Which has more weight?)
Use differentials. (how much one is above avg (+) and how much below the avg is the other (-)).
X(+differential) + Y (-differential) = 0.
Solve to set to 0 and now have the ratio of 1 part to the other.
EX.
A mixture of two types of gaterade. 1 had (10%) sugar content and fat free has (3%) sugar content. If the mixture has 7% sugar, what ratio is Gaterade to Fat Free?
Average commission bumps
Set up a 9 part table and use A*N = S as the top. Then set the left side to Old Sale New
Solve the table and set the sum columns = to each other.
Solve for n, remember if asking for total sales, the answer will be n+1 :)
EX.
John made a sale and got 3K comission. This increased his average commission by $150 making his monthly average $400. How many sales has John made total?
Compare Score Unknown
EX. Qaunt Review # 81
Look at the big picture and set up the full equation before substituting. Once the equation is set up, use substitution and solve. That easy…
Sara and Paul both took 3 tests. On the first 2, Sara scorred 10 and 4 points better than Paul respectively. If Paul’s average ended up being 3 points higher than Sara, how much more did Paul score on test 3 than Sara?
Average Number Taker Outer
Quant Review #84
Solve for the sum in the given series. Use the some minus X (unknown number)/(Original # of values - 1) = new mean
Solve
EX. The average of 10 numbers is 7.5.
If one number is taken out, the new average is 6.9.
What number was taken out?
Consecutive Integers
The sum of a set, is the average times that number of terms in that set.
A*N = Sum
As it relates to consecutive integers, consecutive multiples, and evenly spaced sets, you can find the number of terms in a set by taking [(last-first)/increment + 1] to get the # of terms. Then (last+first)/2 to get Average.
The sum can then be calculated.
EX.
What is the sum of the consecutive integers from 24-57?
(57-24/(1)) + 1 = 34
(57+24)/2 = 35.5
34*35.5 = Sum
Rule: An Odd set of consecutive integers will always be an integer (Counting in from both sides, there is 1 term in the middle). For an even set, what happens? (You end up with 2 numbers and therefore have to take the average and no such luck with the integer)
Comparisons
Identify Markers
Compare the items being compared
For sentences with omitted verbs in the second thing compared, it’s fine as long as there isn’t ambiguity. Otherwise, leaving the additional verb is the correct answer.
As compares (Verb/verb clauses) She played in the game as did John
Like compares (Nouns) Ann, like Peter, is good at batting.
Like means (Similar To) Such As means (Examples) - also it is correct to say "such specialized areas as..."
The word “equal” is used for “equal justice” but not for counting. The number of people is equal…“is as much as” is preferred.
Reading Comprehension
1234 Table
100% justifiable (most important thing).
Extremes are usually wrong
