Lily has pineapples and apples in a ratio of \( 128: 60 \). How many pineapples does she have if she has 15 apples? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
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Bonus Knowledge
Lily’s ratio of pineapples to apples is \( 128: 60 \). To find out how many pineapples correspond to the 15 apples she has, we first simplify the ratio. Dividing both terms in the ratio by 4 gives us \( 32:15 \). Now, if she has 15 apples, which is the same quantity as the second term of the simplified ratio, we can see from the first term that she has 32 pineapples! This scenario plays out in many fun ways in fruit markets, where vendors often sell various fruits in certain ratios. For example, if a vendor has a combination of melons to strawberries in a particular ratio and a customer wants a specific number of one type, finding the equivalent amount can be a fun puzzle that could even involve sweet rewards! Moreover, ratios like this are not just confined to fruit shopping. You’ll find them in recipes when you’re cooking or mixing up your favorite smoothie, ensuring the right balance of flavors. Just remember: if a recipe calls for 2 parts of fruit to 1 part of yogurt and you decide to use 3 cups of yogurt, multiply to find you should use 6 cups of fruit. Ratios make cooking fun and precise!
