Answer :
Let's solve the problem step-by-step using the given weights:
(a) How much (in pounds) did Brady lose that month?
1. Initial Weight: Brady's starting weight was [tex]\(195 \frac{1}{2}\)[/tex]. In decimal form, this is [tex]\(195.5\)[/tex] pounds.
2. Weight at the end of the month: At the end of the month, his weight was [tex]\(192 \frac{1}{8}\)[/tex]. Converting this to a decimal gives us [tex]\(192.125\)[/tex] pounds.
3. Weight Loss Calculation:
- Subtract the end-of-month weight from the initial weight:
[tex]\[
195.5 - 192.125 = 3.375
\][/tex]
- Convert the result [tex]\(3.375\)[/tex] into a mixed number: [tex]\(3 \frac{3}{8}\)[/tex].
Brady lost [tex]\(3 \frac{3}{8}\)[/tex] pounds in the first month.
(b) If his goal is [tex]\(184 \frac{3}{4}\)[/tex] pounds, how much more does he have to lose?
1. Goal Weight: Brady's goal is [tex]\(184 \frac{3}{4}\)[/tex] pounds, which is [tex]\(184.75\)[/tex] in decimal form.
2. Remaining Weight to Lose Calculation:
- Subtract the goal weight from the end-of-month weight:
[tex]\[
192.125 - 184.75 = 7.375
\][/tex]
- Convert the result [tex]\(7.375\)[/tex] into a mixed number: [tex]\(7 \frac{3}{8}\)[/tex].
Brady needs to lose an additional [tex]\(7 \frac{3}{8}\)[/tex] pounds to reach his goal weight.
(a) How much (in pounds) did Brady lose that month?
1. Initial Weight: Brady's starting weight was [tex]\(195 \frac{1}{2}\)[/tex]. In decimal form, this is [tex]\(195.5\)[/tex] pounds.
2. Weight at the end of the month: At the end of the month, his weight was [tex]\(192 \frac{1}{8}\)[/tex]. Converting this to a decimal gives us [tex]\(192.125\)[/tex] pounds.
3. Weight Loss Calculation:
- Subtract the end-of-month weight from the initial weight:
[tex]\[
195.5 - 192.125 = 3.375
\][/tex]
- Convert the result [tex]\(3.375\)[/tex] into a mixed number: [tex]\(3 \frac{3}{8}\)[/tex].
Brady lost [tex]\(3 \frac{3}{8}\)[/tex] pounds in the first month.
(b) If his goal is [tex]\(184 \frac{3}{4}\)[/tex] pounds, how much more does he have to lose?
1. Goal Weight: Brady's goal is [tex]\(184 \frac{3}{4}\)[/tex] pounds, which is [tex]\(184.75\)[/tex] in decimal form.
2. Remaining Weight to Lose Calculation:
- Subtract the goal weight from the end-of-month weight:
[tex]\[
192.125 - 184.75 = 7.375
\][/tex]
- Convert the result [tex]\(7.375\)[/tex] into a mixed number: [tex]\(7 \frac{3}{8}\)[/tex].
Brady needs to lose an additional [tex]\(7 \frac{3}{8}\)[/tex] pounds to reach his goal weight.
