Question

Sam and Dan have a total of 360 hats in the ratio 7:5 respectively. How many more hats does Sam have than Dan?

Answer 1

Answer:

Sam has 60 more hats than Dan

Explanation:

Total number of hats = 360

Ratio of Sam's (s) of Dan's (d) is 7:5

Sum of ratios = 7 + 5 = 12

For Sam, he has:

$\frac{7}{12}\times360=210$

For Dan, he has:

$\frac{5}{12}\times360=150$

The difference between Sam and Dan's hats is:

210 - 150 = 60

That is, Sam has 60 more hats than Dan