Question

check your understanding

1. kasey noticed that the distribution of candy bars in the variety bags of candy bars is always the same. there are three times as many twix bars as milky ways. there are 5 fewer snickers than there are twix.

a. determine the quantity of each candy in the small, medium, and large variety bags.

	twix	milky ways	snickers
medium	30
large			37

b. write an equation that relates the number of milky ways, m, and the number of snickers, s, for any variety bag.

1. while the u.s. measures temperature in degrees fahrenheit, much of the world uses the celsius scale. if c is the temperature in °celsius and f is the temperature in °fahrenheit, then c =\frac{5}{9}(f - 32).

a. if an american recipe states to preheat the oven to 425°f, how many degrees would this be in °c?
b. describe in words the relationship between a temperature given in °fahrenheit and its corresponding temperature in °celsius.

Explanation:

1.

a.

Step1: Find Twix in small bag

Given there are three - times as many Twix bars as Milky Ways. In the small bag, Milky Ways = 8. So Twix in small bag = 3×8 = 24.

Step2: Find Snickers in small bag

There are 5 fewer Snickers than Twix. So Snickers in small bag = 24 - 5=19.

Step3: Find Milky Ways in medium bag

Given Twix in medium bag = 30. Since Twix = 3×Milky Ways, Milky Ways in medium bag = 30÷3 = 10.

Step4: Find Snickers in medium bag

Snickers = Twix - 5. So Snickers in medium bag = 30 - 5 = 25.

Step5: Find Twix in large bag

Given Snickers in large bag = 37. Since Snickers=Twix - 5, Twix in large bag = 37 + 5=42.

Step6: Find Milky Ways in large bag

Since Twix = 3×Milky Ways, Milky Ways in large bag = 42÷3 = 14.

	Twix	Milky Ways	Snickers
Medium	30	10	25
Large	42	14	37

b.

Let the number of Milky Ways be \(M\) and the number of Snickers be \(S\). Since Twix \(T = 3M\) and \(S=T - 5\), substituting \(T = 3M\) into the second - equation, we get \(S = 3M-5\).

Step1: Substitute \(F = 425\) into the formula

Given \(C=\frac{5}{9}(F - 32)\), substitute \(F = 425\) into it. First, calculate \(F-32\): \(425-32 = 393\).

Step2: Calculate \(C\)

Then \(C=\frac{5}{9}\times393=\frac{1965}{9}\approx218.33\).

Answer:

\(S = 3M - 5\)

2.

a.