Question

in a group of people the ratio of blondes to brunettes to redheads is 3:7:1 there are 56 brunettes. How many people are in the group?

Answer 1

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Answer 2

★GIVEN★

• In a group of people the ratio of blondes to brunettes to redheads is 3:7:1.
• There are 56 brunettes.

★To Find★

No of people in the group.

★SOLUTION★

Let the the blondes be 3x, brunettes be 7x and redheads be x.

No of brunettes is 56.

According to the question,

$\large\implies{\sf{7x=56}}$

$\large\implies{\sf{x=\dfrac{56}{7}}}$

$\large\implies{\sf{x=\dfrac{\cancel{56}}{\cancel{7}}}}$

$\large\therefore\boxed{\bf{x=8}}$

Now,

1. 3x = 3 × 8 = 24.
2. 7x = 7 × 8 = 56.
3. 1x = 1 × 8 = 8.

Total no of people = 24 + 56 + 8 = 88.

Total no of people in the group is 88.