Tom is going to make some concrete by mixing sand, cement and gravel in the ratio 1:3:4. Tom
wants to make 200kg of concrete mix.
He has 30kg of cement, 75kg of sand, and 105kg
of gravel. Does Tom have enough materials to
make the concrete mix?

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option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have