Question

Sochi and Noel took some money from their savings and bought a gift for their mothers. They each shared 25% of their money. Sochi gave $450 and Noel shared $300 for the gift. How much savings did each have before buying the gift?

Answer 1

Given:

• Sochi gave $450 for the gift.
• Noel gave $300 for the gift.
• Both gave 25% of their savings.

To Find:

• How much savings did each have before buying the gift??

Solution:

Let the savings Sochi had before buying the gift be x.

Then,

∵ 25% of x = $450

$\implies \mathtt{\dfrac{25}{100}\times x = \ 450}\\\\\implies \mathtt{25\times x = \ 450\times100}\\\\\implies \mathtt{25x = \ 45000}\\\\\implies \mathtt{x = \dfrac{\ 45000}{25}}\\\\\implies \mathtt{x = \ 1800}$

Hence, Sochi had $1800 as savings before buying the gift.

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Now, let the savings Noel had before buying the gift be n.

Then,

∵ 25% of n = $300

$\implies \mathtt{\dfrac{25}{100}\times n = \ 300}\\\\\implies \mathtt{25\times n = \ 300\times100}\\\\\implies \mathtt{25n = \ 30000}\\\\\implies \mathtt{n = \dfrac{\ 30000}{25}}\\\\\implies \mathtt{n = \ 1200}$

Hence, Noel had $1200 as savings before buying the gift.