Caroline has limes and peaches in a ratio of \( 9: 44 \). How many peaches does she have if she has 54 limes? On the double number line below, fill in the given values, then use multiplication or division to find the missing value

To find out how many peaches Caroline has given that she has 54 limes, we first need to determine how many times the ratio fits into her current number of limes. The ratio of limes to peaches is 9:44. This means for every 9 limes, there are 44 peaches. First, we find how many sets of 9 limes are in 54 limes: \[ \frac{54 \text{ limes}}{9 \text{ limes per set}} = 6 \text{ sets} \] Now that we know Caroline has 6 sets of the ratio, we can find the corresponding number of peaches: \[ 6 \text{ sets} \times 44 \text{ peaches per set} = 264 \text{ peaches} \] Thus, Caroline has 264 peaches! Now, let’s depict this on a double number line to visualize the relationship: - Limes: 0, 9, 18, 27, 36, 45, 54 - Peaches: 0, 44, 88, 132, 176, 220, 264 The double number line highlights the consistent ratio and how the quantities of limes and peaches scale together!