alyssaperez30 alyssaperez30
  • 03-12-2020
  • Mathematics
contestada

There are some pencils and erasers in a
box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?

Respuesta :

absor201
absor201 absor201
  • 03-12-2020

Answer:

There are 8 erasers in the box

Step-by-step explanation:

given that the Ratio of pencils to erasers is  3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

[tex]\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8[/tex]

Hence,

There are 8 erasers in the box

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