The question is an illustration of unit conversion
10 hands is equivalent to 6.5 heads
The given parameters are:
[tex]\mathbf{6\ hands = 2\ feet}[/tex]
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2
[tex]\mathbf{3\ hands = 1\ feet}[/tex]
Multiply both sides by 3
[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]
[tex]\mathbf{9\ hands = 3\ feet}[/tex]
Recall that:
[tex]\mathbf{3\ feet= 7\ arms}[/tex]
Substitute 7 arms for 3 feet
[tex]\mathbf{9\ hands = 7\ arms}[/tex]
Divide both sides by 7
[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]
[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]
Multiply both sides by 3
[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]
[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]
Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]
So, we have:
[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]
Multiply both sides by 7
[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]
Divide both sides by 27
[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]
Multiply both sides by 10
[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]
[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]
[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]
Hence, 10 hands is 6.5 heads
Read more about unit conversions at:
https://brainly.com/question/19420601
