Answered

The ratio of black marker in a box to blue markers in a box is 3:5. If there are 10 more blue markers than black markers,how many total markers are in the box.

Answer :

MrRoyal

Answer:

[tex]Total = 40[/tex]

Step-by-step explanation:

Given

[tex]Black:Blue = 3:5[/tex]

[tex]Blue = 10 + Black[/tex]

Required

Determine the total number of markers

First, we need to determine the ratio of black to blue such that

[tex]Blue = 10 + Black[/tex]

[tex]Black:Blue = 3:5[/tex]

Multiply the ratio by 5

[tex]Black:Blue = 3 * 5 : 5 * 5[/tex]

[tex]Black:Blue = 15 : 25[/tex]

By direct comparison:

[tex]Black = 15[/tex]

[tex]Blue = 25[/tex]

The above shows that:

[tex]Blue = Black + 10[/tex]

So:

[tex]Total = Black + Blue[/tex]

[tex]Total = 25 + 15[/tex]

[tex]Total = 40[/tex]

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