Question

bc grade 6 mathematics unit 2 – ratio, percen extra for experts 11. ralph and brenda each worked for 12 hours and were paid a total of $189.00. if brenda was paid twice as much as ralph, how much per hour was each paid? 12. mrs. pihl bought 15 eggs for $2.55. she pai $1.95 for a box of one dozen and then purchased the rest of the eggs separately. how much did she pay for each of the additional eggs? weekend trin mrs. jenkins drove at

Explanation:

Question 11 Solution:

Step1: Define Variables for Total Pay

Let Ralph's total pay be \( x \). Then Brenda's total pay is \( 2x \). Their total pay is \( x + 2x = 3x \), and this equals \$189. So, LXI3. Solving for LXI4, we divide both sides by 3: LXI5. So Ralph's total pay is \$63, and Brenda's is \( 2\times63 = 126 \).

Step2: Calculate Hourly Rate

Both worked 12 hours. For Ralph, hourly rate \( r_R=\frac{63}{12}=5.25 \) dollars per hour. For Brenda, hourly rate \( r_B=\frac{126}{12}=10.5 \) dollars per hour.

Step1: Find Number of Additional Eggs

A dozen is 12 eggs. She bought 15 eggs, so additional eggs: \( 15 - 12 = 3 \) eggs.

Step2: Find Cost of Additional Eggs

Total cost is \$2.55, cost of a dozen is \$1.95. So cost of additional eggs: \( 2.55 - 1.95 = 0.6 \) dollars.

Step3: Calculate Cost per Additional Egg

She bought 3 additional eggs for \$0.6. So cost per additional egg: \( \frac{0.6}{3}=0.2 \) dollars (or 20 cents).

Answer:

Ralph: \$5.25 per hour, Brenda: \$10.5 per hour

Question 12 Solution: