Tomorrow is Scott's family reunion, so Scott and his dad are making their famous chocolat beet cake. At the grocery store, Scott puts some beets on the scale. The recipe calls for or $$ 1 \frac{1}{4} $$ pounds of beets, so Scott removes $$ \frac{1}{2} $$ of a pound of beets from the scale. Now he has exactly what he needs for the cake. Use an equation to find the weight of the beets that Scott first puts on the scale. To write a fraction, use a slash (/) to separate the numerator and denominator.

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UpStudy AI · Accepted Answer

Let's denote the weight of the beets that Scott first puts on the scale as $$ x $$ pounds.

According to the information given:
1. The recipe calls for $$ 1 \frac{1}{4} $$ pounds of beets.
2. Scott removes $$ \frac{1}{2} $$ of a pound of beets from the scale.

We can set up an equation to find the weight of the beets that Scott first puts on the scale. The equation is:
$$ x - \frac{1}{2} = 1 \frac{1}{4} $$

Now, we can solve this equation to find the value of $$ x $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$x-\frac{1}{2}=1\frac{1}{4}$$
- step1: Convert the expressions:
  $$x-\frac{1}{2}=\frac{5}{4}$$
- step2: Move the constant to the right side:
  $$x=\frac{5}{4}+\frac{1}{2}$$
- step3: Add the numbers:
  $$x=\frac{7}{4}$$
The weight of the beets that Scott first puts on the scale is $$ \frac{7}{4} $$ pounds or 1.75 pounds.
Scott first puts $$ \frac{7}{4} $$ pounds of beets on the scale.

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