Question

3 lumps equals 1 clump and 10 clumps equals 1 pile, how many piles are 96 lumps

Answer 1

Answer:

3.2 piles

Explanation:

step 1

Find out the number of lumps in 10 clumps

we know that

3 lumps equals 1 clump

by proportion

Let

x ----> the number of lumps

$\frac{3}{1} \frac{lumps}{clump}=\frac{x}{10} \frac{lumps}{clumps}\\\\x=10(3)\\\\x=30\ lumps$

step 2

Find out how many piles are 96 lumps

we know that

10 clumps equals 1 pile

10 clumps equals 30 lumps

so

1 pile equals 30 lumps

using proportion

Let

x -----> the number of piles

$\frac{1}{30}\frac{pile}{lumps}=\frac{x}{96}\frac{piles}{lumps} \\\\x=96/30\\\\x=3.2\ piles$