1. **Problem 1:** Jonah has 750. He spends \frac{1}{4} of this money on travel and some on food. After spending, he has 437.50 left. Find the fraction of 750 he spends on food. Step 1: Calculate the amount spent on travel: $$750 \times \frac{1}{4} = 187.5$$ Step 2: Calculate the total amount spent (travel + food): $$750 - 437.5 = 312.5$$ Step 3: Calculate the amount spent on food: $$312.5 - 187.5 = 125$$ Step 4: Find the fraction of 750 spent on food: $$\frac{125}{750} = \frac{1}{6}$$ **Answer:** Jonah spends \frac{1}{6} of his money on food. 2. **Problem 2:** Without a calculator, work out $$2 \frac{4}{7} - 1 \frac{1}{8}$$ and give the answer as a mixed number in simplest form. Step 1: Convert mixed numbers to improper fractions: $$2 \frac{4}{7} = \frac{2 \times 7 + 4}{7} = \frac{18}{7}$$ $$1 \frac{1}{8} = \frac{1 \times 8 + 1}{8} = \frac{9}{8}$$ Step 2: Find common denominator (LCM of 7 and 8 is 56): $$\frac{18}{7} = \frac{18 \times 8}{56} = \frac{144}{56}$$ $$\frac{9}{8} = \frac{9 \times 7}{56} = \frac{63}{56}$$ Step 3: Subtract the fractions: $$\frac{144}{56} - \frac{63}{56} = \frac{81}{56}$$ Step 4: Convert back to mixed number: $$\frac{81}{56} = 1 \frac{25}{56}$$ Step 5: Simplify \frac{25}{56} if possible (25 and 56 share no common factors other than 1), so it is simplest form. **Answer:** $$1 \frac{25}{56}$$ 3. **Problem 3a:** Write 164703 correct to the nearest thousand. Step 1: Look at the hundreds digit (7), which is \geq 5, so round up. Step 2: 164703 rounded to nearest thousand is 165000. 4. **Problem 3b:** Write 16.983 correct to 1 decimal place. Step 1: Look at the second decimal digit (8), which is \geq 5, so round up. Step 2: 16.983 rounded to 1 decimal place is 17.0. 5. **Problem 3c:** Write 0.037665 correct to 2 significant figures. Step 1: Identify first two significant figures: 3 and 7. Step 2: Look at the third significant figure (6), which is \geq 5, so round up. Step 3: 0.037665 rounded to 2 significant figures is 0.038. **q_count:** 5