Response:
The answer to the question is provided below.
Analysis:
(a) What quantities of peanut butter and jelly will David purchase with his $3 weekly allowance?
It is stated that David prefers 2 ounces of peanut butter for each ounce of jelly, thus
2Pb = J, and the budget constraint can be expressed as 0.05Pb + 0.1J = 3.
Using substitution,
David will acquire Pb = 30 ounces, J = 15 ounces.
30(0.05) + 15(0.10) = 3
(b) If the cost of jelly rises to $0.15 per ounce, what quantities of each item would he purchase?
If pj = $0.15,
24(0.05) + 12(0.15) = 3
Using substitution, we find J = 12 ounces, Pb = 24 ounces.
Ratios can be expressed as fractions:
1:6 can be written as 1/6
2:11 can be represented as 2/11
We can find an equivalent fraction with a common denominator to compare:
1/6 equals 11/66
2/11 equals 12/66
Since 11 is less than 12, there are fewer men on Tuesday.
Therefore, more women should be present on Tuesday.
The answers are options 2, 3, and 4.
