Question

1. $y = x - 3$
2. $y = -5$
3. a mean ogre stole 30 of your muffins. that was $\frac{3}{5}$ of all of them! how many are left?

a) 55 b) 18
c) 50 d) 20

1. how old am i if 500 reduced by 3 times my age is 233?

a) 100 b) 199
c) 110 d) 89

Explanation:

Question 44

Step1: Find total muffins

Let total muffins be \( x \). Given \( \frac{3}{5}x = 30 \). Solve for \( x \): \( x = 30 \div \frac{3}{5} = 30 \times \frac{5}{3} = 50 \).

Step2: Find muffins left

Muffins left = Total - Stolen = \( 50 - 30 = 20 \)? Wait, no, wait: Wait, \( \frac{3}{5}x = 30 \), so \( x = 50 \). Then left is \( 50 - 30 = 20 \)? But wait, let's check again. Wait, \( \frac{3}{5} \) of total is 30, so total is 50. Then left is \( 50 - 30 = 20 \), which is option D? Wait, but let's recalculate. \( 30 \) is \( \frac{3}{5} \) of total, so total \( x = 30 \times \frac{5}{3} = 50 \). Then left is \( 50 - 30 = 20 \). So answer is D? Wait, but option D is 20. Wait, but let's check the options: A)55, B)18, C)50, D)20. So yes, D.

Wait, maybe I made a mistake. Wait, \( \frac{3}{5}x = 30 \), so \( x = 30 \times \frac{5}{3} = 50 \). Then left is \( 50 - 30 = 20 \). So answer is D.

Step1: Set up equation

Let age be \( x \). Then \( 500 - 3x = 233 \).

Step2: Solve for \( x \)

Subtract 233 from both sides: \( 500 - 233 = 3x \) → \( 267 = 3x \). Then \( x = 267 \div 3 = 89 \)? Wait, no: Wait, \( 500 - 3x = 233 \) → \( -3x = 233 - 500 \) → \( -3x = -267 \) → \( x = 89 \). So answer is D? Wait, option D is 89. Let's check: 3 times 89 is 267. 500 - 267 = 233. Yes, correct.

Answer:

D. 20

Question 45