Carissa bought a box of candy to share with her friends. However, when she opened the box there was much less candy than she expected. The box says it contains a total of \(420\) grams of candy. In the box, there are two types of candies: Sour Sassies and Caramellos. Each Sour Sassy has a mass of \(15\) grams and each Caramello has a mass of \(10\) grams.
If she counts \(10\) Sour Sassies and \(25\) Caramellos in the box, was the information on the box correct? Justify your answer.
Since the Sour Sassies each have a mass of \(15\) grams and there are \(10\) Sour Sassies, we can use skip counting to calculate the total mass of the Sour Sassies:
\(15\), \(30\), \(45\), \(60\), \(75\), \(90\), \(105\), \(120\), \(135\), \(150\)
Alternatively, we can multiply to determine the total mass of the Sour Sassies is \(10 \times 15 = 150\) grams.
Since the Caramellos each have a mass of \(10\) grams and there are \(25\) Caramellos, we can use skip counting to calculate the total mass of the Caramellos:
\(10\), \(20\), \(30\), \(40\), \(50\), \(60\), \(70\), \(80\), \(90\), \(100\), \(110\), \(120\), \(130\), \(140\), \(150\), \(160\), \(170\), \(180\), \(190\), \(200\), \(210\), \(220\), \(230\), \(240\), \(250\)
Alternatively, we can multiply to determine the total mass of the Caramellos is \(25 \times 10 = 250\) grams.
The total mass of both candies is \(250 + 150 = 400\) grams. This is less than the mass shown on the box, so the information on the box is incorrect.