Pregunta
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The decreased amount is R54,00.
Solución
Let the new (decreased) amount be \( x \). The phrase “decreased in the ratio \( 3:7 \)” is interpreted here to mean that the new amount is to the original amount as \( 3 \) is to \( 7 \); that is,
\[
\frac{x}{126}=\frac{3}{7}.
\]
We solve for \( x \) step by step:
1. Cross‐multiply:
\[
7x=3\times126.
\]
2. Compute the multiplication:
\[
3\times126=378,
\]
so
\[
7x=378.
\]
3. Divide both sides by \( 7 \) to isolate \( x \):
\[
x=\frac{378}{7}=54.
\]
Thus, the decreased amount is \( R54,00 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve this, we need to split R126,00 in the ratio of \( 3: 7 \). First, add the parts of the ratio together: \( 3 + 7 = 10 \). Each part is then \( R126,00 \div 10 = R12,60 \). Now, to find the amounts for each part, multiply by their respective ratio values. For the first part (3): \( 3 \times R12,60 = R37,80 \) and for the second part (7): \( 7 \times R12,60 = R88,20 \). So R126,00 decreased in the ratio \( 3: 7 \) gives you R37,80 and R88,20! Keep this method in mind for any other ratios you might encounter; it's a handy skill to have!

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