Mathematics: Araba used ⅓of her salary on food and ⅖ on other items. If she saved the remaining amount of 240 cedis, how much is Araba s salary

Araba used ⅓of her salary on food and ⅖ on other items.

Ответ:

hhh976

09.11.2021

Mathematics

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

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Ответ:

Tibbit94

28.04.2023

Mathematics

Her monthly income is $4200.

Step-by-step explanation:

Let her monthly income be 'x'.

Given:

Money spent on food and rent = 1/2 of 'x' = $\frac{x}{2}$

Money spent on clothing = 1/4 of 'x' = $\frac{x}{4}$

Money spent on entertainment = 1/12 of 'x' = $\frac{x}{12}$

Money saved = $700

Total money spent = Money on food and rent + Money on clothing + Money on entertainment

Total money spent = $\frac{x}{2}+\frac{x}{4}+\frac{x}{12}$

Adding by making denominator same. LCD of 2, 4, and 12 is 12. So,

Total money spent is given as:

$Total=\frac{x\times 6}{2\times 6}+\frac{x\times 3}{4\times 3}+\frac{x}{12}\\\\Total=\frac{6x}{12}+\frac{3x}{12}+\frac{x}{12}\\\\Total=\frac{6x+3x+x}{12}\\\\Total = \frac{10x}{12}=\frac{10x\div 2}{12\div 2}=\frac{5x}{6}$

Now, total money saved is equal to total monthly income minus total money spent. So,

Money saved = Monthly income - Total money spent

$700=x-\frac{5x}{6}\\\\700=\frac{6x}{6}-\frac{5x}{6}\\\\700=\frac{6x-5x}{6}\\\\700=\frac{x}{6}\\\\x=700\times 6=\$4200$

Therefore, her monthly income is $4200.

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Araba used ⅓of her salary on food and ⅖ on other items. If she saved the remaining amount of 240 cedis, how much is Araba's salary

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