1. **Problem statement:** Phil earns 10.50 per hour, worked 3 days a week for 7 months (4 weeks each), earned 5300.98 total, spent 64.50 on jeans and 0.9729 on chocolate. Find hours worked per day as decimal and fraction. 2. **Calculate total weeks worked:** $$7 \text{ months} \times 4 \text{ weeks/month} = 28 \text{ weeks}$$ 3. **Calculate total days worked:** $$28 \text{ weeks} \times 3 \text{ days/week} = 84 \text{ days}$$ 4. **Calculate total money spent:** $$64.50 + 0.9729 = 65.4729$$ 5. **Calculate total money saved (earned - spent):** $$5300.98 - 65.4729 = 5235.5071$$ 6. **Calculate total hours worked:** Since Phil earns 10.50 per hour, total hours worked $$= \frac{5300.98}{10.50}$$ 7. **Simplify total hours worked:** $$\frac{5300.98}{10.50} = \frac{\cancel{5300.98}}{\cancel{10.50}} = 504.855238...$$ (approximate decimal) 8. **Calculate hours worked per day:** $$\frac{504.855238}{84} = 6.01137$$ hours per day (decimal) 9. **Express hours per day as fraction:** Multiply decimal by 100000 to clear decimals: $$6.01137 = \frac{601137}{100000}$$ Simplify fraction by dividing numerator and denominator by GCD 1 (approximate fraction): $$\approx \frac{601137}{100000}$$ (or use exact fraction from decimal to fraction conversion tools) --- **Slug:** "hours per day" **Subject:** "algebra" **Desmos:** {"latex":"y=0","features":{"intercepts":true,"extrema":true}} **q_count:** 2