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Write an equation and solve.

A jar contained 10 marbles. The jar had five less than half as many as were on the table. How many marbles were on the table?

Respuesta :

tanmayakumarp3

Answer:

30 marbles

Step-by-step explanation:

Let,

No. of marbles on the table be = x

So,

No. of marbles in the jar = [tex]\frac{x}{2} - 5[/tex]

We know that,

No. of marbles in the jar were 10

Therefore,

By the problem,

=> [tex]\frac{x}{2} - 5[/tex] = 10

  • [On adding 5 on both sides]

=> [tex]\frac{x}{2}[/tex] - 5 + 5 = 10 + 5

  • [On simplification]

=> [tex]\frac{x}{2}[/tex] = 15

  • [On multiplying both sides with 2]

=> [tex]\frac{x}{2}[/tex] × 2 = 15 × 2

  • [On simplification]

=> x = 30

Hence,

Required no. of marbles on the table were 30. (Ans)

Solution:

Let z represent the number of marbles on the table.

Note that:

  • J = 10
  • J = z/2 - 5

Thus, we can say that:

  • J = 10 = z/2 - 5

Adding 5 to both sides:

  • 5 + 10 = z/2 - 5 + 5
  • => 10 + 5 = z/2

Simplifying the LHS:

  • => 15 = z/2

Cross multiplication:

  • => 15 x 2 = z
  • => 30 = z

We can conclude that:

There were 30 marbles on the table.

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