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Lady bird [3.3K]
3 years ago
14

Jason purchased three different sizes of candy at the store. The

Mathematics
1 answer:
Ivan3 years ago
4 0

Answer: $5

Step-by-step explanation:

Let the small candy be represented by x.

The medium candy was twice as expensive as the small candy. This will be: = 2×x = 2x

The large candy was $5 more than the medium candy. This will be: = 2x + 5

Since Jason spent a total of $30 on

candy, the cost of the small candy will be:

x + 2x + 2x + 5 = 30

5x + 5 = 30

5x = 30 - 5

5x = 25

x = 25/5

x= 5

The small candy cost $5

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<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
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