Allegra and Simeon were selling containers of cookie dough for a charity event. In the first week, Allegra sold 30%, percent more than Simeon did. The following week, Allegra sold 12 containers of cookie dough, while Simeon sold none. If Allegra sold 40%, percent more containers than Simeon did overall, how many did Simeon sell in total?

Question

Mathematics

Milagros

7 March, 04:15

Allegra and Simeon were selling containers of cookie dough for a charity event. In the first week, Allegra sold 30%, percent more than Simeon did. The following week, Allegra sold 12 containers of cookie dough, while Simeon sold none. If Allegra sold 40%, percent more containers than Simeon did overall, how many did Simeon sell in total?

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Answers (1)

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Johan Whitney · Answer 1

The number of containers sold by Simeon overall = 120

Step-by-step explanation:

Let is assume the containers sold by Simeon in first week = x

So, the the containers sold by Allegra in first week = x + 30% of x

= x + 0.3 x = 1.3 x

Now, in second week:

The containers sold by Simeon = 0

The containers sold by Allegra = 12

So, the total cookie container sold by Allegra = (1.3 x + 12)

Also, Allegra sells 40% more cookie containers than Simeon.

⇒Allegra's share = (Simeon's share) + 40% of (Simeon's share)

⇒Allegra's share = 1.4 x (Simeon's share)

⇒ (1.3 x + 12) = 1.4 (x + 0)

⇒ 1.3 x + 12 - 1.4 x = 0 or, 0.1 x = 12

or, x = 120

So, the total containers sold by Simeon = x + 0 = 120 + 0 = 120

Hence, the number of containers sold by Simeon overall = 120