Question

Fill in the blanks!

This week, Maria ate 60%, or 420 grams, of a jumbo box of cereal. How much cereal was in the whole box? Use the percent and the patterns in the equivalent ratios to find out.

part/whole = 60x7 / _ x 7 = _g/?

_ g in the box

Answer 1

To find the total grams of cereal in the whole box, we can set up the equation using the given information. We know that 60% of the whole box is equal to 420 grams.

We can set up the equation as follows:

\[
\frac{part}{whole} = \frac{60}{100} = \frac{420}{x}
\]

Where \( x \) is the total grams in the box.

Cross-multiplying gives us:

\[
60x = 420 \times 100
\]

Calculating \( 420 \times 100 \):

\[
420 \times 100 = 42000
\]

So we have:

\[
60x = 42000
\]

Now, to isolate \( x \), we divide both sides by 60:

\[
x = \frac{42000}{60}
\]

Calculating \( \frac{42000}{60} \):

\[
42000 ÷ 60 = 700
\]

Thus, there are **700 grams** in the whole box.

In summary:

**700 g in the box.**