Question

Explain please:
the ratio of Mark's allowance to Jim's allowance is 3:7
The ratio of Mark's allowance to Wanda's allowance is 2:5. What is the ratio of Jim's allowance to Wanda's allowance?

Answer 1

you know M/J (it is 3/7)
you know M/W (2/5)
what is J/W ?
one way to do this is "solve" for J and solve for W, then take the ratio

Answer 2

if M/J= 3/7 then (flip both) J/M= 7/3
multiply both sides by M to get J= 7M/3
can you solve for W in
M/W = 2/5
?

Answer 3

Yes, w = 2m/5

Answer 4

it looks upside down to me

Answer 5

Right, sorry.
w = 5m/2

Answer 6

now we do J/W
\[ \frac{\frac{7m}{3}}{\frac{5m}{2}} \]

Answer 7

so 7m/3:5m/2
7/3:5/2
7/3*2/5
14/15?

Answer 8

instead of dividing by 5m/2, multiply by 2/5m

Answer 9

yes, that looks good

Answer 10

Okay thank you.