Title WK3 - Y5 - MATH - HW - Ratio and Proportions - AN.docx.pdf ✅

4 A Given: Archers/Knight = 5/7 Solution: Total ratio = 5 + 7 = 12 Therefore total should be divisible by 12 only Choice A is divisible by 12 Therefore the answer is choice A 5 C Given: Ruby/Emerald = 5:8 Ruby = 25 years old Solution: 5⁄8 = 25/E 5E = 200 E = 40 years old 6 B Given: Statement: Four boys signed up for the Book Club for every 7 girls that signed up for the Book Club. The ratio of boys to girls is 4 Boys : 7 Girls Total of students signed up for Book Club = 99 Students Solution: Step 1: Add parts of the ratio together. Total ratio = 4 + 7 = 11 Step 2: Perform ratio and proportion. Girls/Total of Students signed up for Book Club = 7/11 Girls/99 = 7/11 = 7 11 G 99 11G = 693 G = 63 girls 7 E ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 2

3x = 150 x = 50. He used 50 * 2 = 100 ml of mermaid tears and 5 * 50 = 250 ml of starfruit juice. The volume of potion is - 150 ml + 100 ml + 250 ml = 500 ml. 11 C Given: Apollo:Artemis = 4:3 Artemis = 255 Drachmas Solution: 4/3 = Apollo/255 3 Apollo = 1020 Apollo = 340 Drachmas 12 D Solution: Philip is 28 years old, and the ratio of Ryan’s age to Jack’s age is 1 to 2. Say Ryan is x years old and Jack is 2x years old. Then, we have - x + 2x + 28 = 91 3x = 63 x = 21 So, Jack’s age is 21 * 2 = 42 years old. 13 D Given: 54 students 24 = Boys Solution: Girls = 54 - 24 = 30 girls Boys/Girls = 24/30 ← simplify Boys/Girls = 4⁄5 or 4 to 5 14 C Given: 96 km = 8 L ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 4