In Kayllie’s recipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. Which ratios would make the lemonade stronger?
keeping the 4 parts water, any amount greater than 7 parts for the lemon would be stronger.
To make the lemonade stronger, we need to increase the ratio of lemons to water. The current ratio is 7 to 4, which means for every 7 lemons, there are 4 cups of water.
To find the ratios that would make the lemonade stronger, we can increase the number of lemons while keeping the total amount of water constant. Let's use a common multiple for lemons and water as the total cups of liquid:
Let's consider a total of 28 cups of liquid (a common multiple of 7 and 4). In the current recipe, this would mean using 7 lemons and 4 cups of water.
If we increase the number of lemons to 14 while maintaining the same amount of water (4 cups), the new ratio would be 14 to 4. This would make the lemonade stronger.
Similarly, if we increase the number of lemons to 21 while maintaining 4 cups of water, the new ratio would be 21 to 4, which would also make the lemonade stronger.
So, the ratios that would make the lemonade stronger are 14 to 4 and 21 to 4.