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The answer to the problem is 4 because 12+8 is 20 and 20×1/5 is 4

Anna and Belle are two friends who are in grade 5 at Lason Elementary School. They plan to put together their weekly allowances to be donated to an animal care foundation. Anna and Belle have $12 and $8, respectively. They agreed to set aside one-fifth of their money. Write expressions to match and then solve it.

  • The expression is ¹/₅ x (12 + 8).
  • The solution is 4.

Further explanation

Given:

  • Anna and Belle plan to put together their weekly allowances to be donated to an animal care foundation.
  • They have $12 and $8, respectively.
  • They agreed to set aside one-fifth of their money.

Question:

Write expressions to match and then solve it.

The Process:

Here are some early expressions that need attention.

  • one-fifth is [tex]\boxed{\frac{1}{5}}[/tex]
  • the sum of 12 and 8 is [tex]\boxed{(12 + 8)}[/tex]

The expression for one-fifth of the sum is [tex]\boxed{\frac{1}{5} \times (12 + 8)}[/tex] which is the amount of money they are donating together.

We know that the key word or phrase 'of' is used to describe a common mathematical operation, which is multiplication. It is synonymous with 'the product'.

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Here are the steps to solve the expression.

Firstly, we add up their weekly allowances.

[tex]\boxed{ \ \$ 12 + \$ 8 = \ ? \ }[/tex]

[tex]\boxed{\boxed{ \ \$ 20 \ }}[/tex]

Secondly, one-fifth multiplied by the number of their weekly allowances.

[tex]\boxed{ \ = \frac{1}{5} \times (12 + 8) \ }[/tex]

[tex]\boxed{ \ = \frac{1}{5} \times \$ 20 \ }[/tex]

Or it can be written as, [tex]\boxed{ \ = \$ 20 \div 5 \ }[/tex]

[tex]\boxed{\boxed{ \ \$ 4 \ }}[/tex]

Thus, they donated together for $ 4.

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