Question

Question #f43a8

Answer 1

Collector A `24` stamps
Collector B `30` stamps
Collector C `36` stamps

Explanation:

We can solve this by using the `4:5:6` ratio and assigning the unit value `n` to each part of the ratio.

Collector A `=4n`
Collector B `=5n`
Collector C `=6n`

Together the collectors have `90` stamps.

`4n +5n + 6n = 90`

Combine like terms.

`15n = 90`

Use the multiplicative inverse to isolate the variable.

`((cancel15)n)/(cancel15) = 90/15`

`n = 6`

Collector A `=4(6) = 24`
Collector B `=5(6) = 30`
Collector C `=6(6) = 36`