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Zac is making cookies, but he does not have enough brown sugar to make a full recipe. The full recipe calls for 2/3 cup of brown sugar.

If Zac has enough brown sugar for 3/5 of the full recipe, how much brown sugar does he have?

Represent the 2/3 cup of brown sugar the recipe calls for with a diagram.

Represent the portion of brown sugar that Zac has if he makes only 3/5 of the recipe.

What mathematical operation should Zac use to find the amount of brown sugar he has? Write an expression and then calculate its value.

Respuesta :

The expression that represents the amount of brown sugar Zac has is  [tex]\frac 23 \times \frac 35[/tex]

What are proportions?

A proportion is an equation that represents ratios set equal to each other.

To do this, we make use of the following representations

  • Let b represents the proportion of sugar in the full recipe
  • Let c represents the proportion of brown sugar Zac has

So, we have:

[tex]b = \frac 23[/tex]

[tex]c = \frac 35[/tex]

The expression that calculates the amount of brown sugar Zac has is represented as:

[tex]b \times c[/tex]

So, we have:

[tex]\frac 23 \times \frac 35[/tex]

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