Sochi and Noel took some money from their savings and bought a gift fo

1.	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» 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. ------------------------------- 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.

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»

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.

-------------------------------

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.