Question

20 over 35 equals 110 over b

Answer 1

`b=192.5`

Explanation:

We can set up the following proportion:

`(20)/(35)=(110)/(b)`.

Cross-multiply to solve for
`b`:

`20b=110\cdot 35,\\b=(110\cdot35)/(20)=\fbox{$192.5$}`.

Answer 2

Hey there!

`\bold{(20)/(35)=(110)/(b)}`

Cross multiply

`\bullet \ \bold{numerator * denominator }\\ \\ \bullet \ \bold{denominator * numerator}`

`\bold{20* b = 110 * 35}\\ \\ \bold{20* b=20b}\\ \\ \bold{110*35=3,850}\\ \\ \underline{\bold{New\ equation: 20b = 3,850}}`

DIVIDE
`\bold{20}` on BOTH SIDES

`\bold{(20b)/(20)=(3,850)/(20)}`

CANCEL out:
`\bold{(20)/(20)}` because that gives you
`\bold{1}`

KEEP:
`\bold{(3,850)/(20)}` because it helps us solve for
`\bold{b}`

`\bold{b = (3,850)/(20)=(3,850/10)/(20/10)=(385)/(2)}`

`\boxed{\boxed{\huge{\bf{Answer: b = (385)/(2)}}}}\checkmark`

Good luck on your assignment and enjoy your day!

~
`\frak{LoveYourselfFirst:)}`