Ratio Problems: Practice with Tony, Olivia, and Flapjacks
Practice solving ratio problems involving money sharing between individuals like Tony, Luke, Zach, Olivia, and Katy, as well as scenarios with varying counters and ingredients in ratios. Work through examples where one person receives a specific amount more than another in a given ratio, determining how much each person should receive. Explore scenarios with different ratios and differences to enhance your understanding of ratios and proportion.
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Ratio: Ratio: Difference Given Difference Given Silent Teacher Intelligent Practice Your Turn Narration Tony and Luke share some money in the ratio 3:7. Luke receives 20 more than Tony. How much do they each receive? Tony and Luke share some money in the ratio 3:7. Luke receives 10 more than Tony. How much do they each receive? Practice
Worked Example Your Turn Zach and Olivia share some money in the ratio 2:5. Olivia receives 15 more than Zach. How much do they each receive? Zach and Olivia share some money in the ratio 2:5. Olivia receives 30 more than Zach. How much do they each receive? @fortyninecubed
Tony and Luke share some money in the ratio 3:7. Luke receives 20 more than Tony. How much do they each receive? Tony and Luke share some money in the ratio 3:7. Luke receives 10 more than Tony. How much do they each receive? Katy and Becky share some money in the ratio 2:1. Katy receives 10 more than Becky. How much do they each receive? The ratio of boys to girls in a class is 2:1. There are 8 more boys than girls. How many boys and girls in the class? There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
There are blue, red and yellow counters in a bag in the ratio 9:6:3. There are 6 more blue counters than red counters. How many counters are there in total? There are blue, red and yellow counters in a bag in the ratio 9:6:3. There are 18 more blue counters than red counters. How many counters are there in total? A flapjack is made of oats, butter and syrup in the ratio 7:2:5. A recipe requires 180g more syrup than butter. How many grams of oats should I use? A flapjack is made of oats, butter and syrup in the ratio 7:1:5. A recipe requires 180g more syrup than butter. How many grams of oats should I use? A flapjack is made of oats, butter and syrup in the ratio 9:1:5. A recipe requires 140g more oats than butter. How many grams of flapjack will the recipe make in total?
Tony and Luke share some money in the ratio 3:7. Luke receives 20 more than Tony. How much do they each receive? Tony - 15 and Luke 35 Tony and Luke share some money in the ratio 3:7. Luke receives 10 more than Tony. How much do they each receive? Tony - 7.50 and Luke - 17.50 Katy and Becky share some money in the ratio 2:1. Katy receives 10 more than Becky. How much do they each receive? Katy - 20. Becky - 10. The ratio of boys to girls in a class is 2:1. There are 8 more boys than girls. How many boys and girls in the class? Boys 8 and girls 16. There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total? 36 counters
There are blue, red and yellow counters in a bag in the ratio 9:6:3. There are 6 more blue counters than red counters. How many counters are there in total? 36 counters There are blue, red and yellow counters in a bag in the ratio 9:6:3. There are 18 more blue counters than red counters. How many counters are there in total? 108 counters A flapjack is made of oats, butter and syrup in the ratio 7:2:5. A recipe requires 180g more syrup than butter. How many grams of oats should I use? 420g A flapjack is made of oats, butter and syrup in the ratio 7:1:5. A recipe requires 180g more syrup than butter. How many grams of oats should I use? 315g A flapjack is made of oats, butter and syrup in the ratio 9:1:5. A recipe requires 140g more oats than butter. How many grams of flapjack will the recipe make in total? 262.5g