Dana made 96 strides.
Step-by-step explanation:
Given,
Ratio of Sally's stride to Dana's strides = 5:4
Strides made by Sally = 120
Let,
x be the strides made by Dana.
Ratio of Sally to Dana = 120:x
Using proportion;
Ratio of Sally's stride to Dana's stride :: Ratio of Sally to Dana
[tex]5:4::120:x[/tex]
Product of mean = Product of extreme
[tex]4*120=5*x\\480=5x\\5x=480[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{480}{5}\\x=96[/tex]
Dana made 96 strides.
Keywords: ratio, proportion
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