Question

Please help! Thanks! Show work!

Answer 1

Answer: The toy should be 2.4 inches tall

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Explanation:

First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches

So, 6 ft = 72 inches

The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio

1/30 = x/72

where x is the height of the toy soldier in inches

Cross multiply and solve for x

1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4

So the toy should be 2.4 inches tall.

Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.