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Question
use the information to answer the question.
a large crate and medium crate are each filled completely with bags of apples. the large crate holds 30% more mass than the medium crate. the large crate holds a mass of 58.5 kilograms. the mass of each bag of apples is 1.5 kilograms.
how many bags of apples does the medium crate hold? enter the answer in the box.
bags
Step1: Find medium crate mass
Let $m$ = medium crate mass.
Large crate mass = $m + 0.3m = 1.3m$
$1.3m = 58.5$
$m = \frac{58.5}{1.3} = 45$ kilograms
Step2: Calculate number of bags
Each bag = 1.5 kg.
Number of bags = $\frac{\text{Medium crate mass}}{\text{Mass per bag}}$
$\text{Number of bags} = \frac{45}{1.5} = 30$
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30 bags