ShmoopTube

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The Visual Approach to Equivalent Ratios, a la Shmoop.

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Fransel and Stetl are always getting themselves into trouble. [Fransel and Stetl walking in the woods]

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Fortunately, they don’t get into quite as much trouble as their famous cousins…

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…but they still run into their share of bad eggs. [Fransel and Stetl walk by rotten eggs]

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Their most recent run-in was with a witch who gets off on cursing her victims with terrible acne.

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Fransel and Stetl, who had always boasted clear, unblemished flesh… [Fransel and Stetl cursed by witch in the woods]

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…suddenly found themselves looking a bit like their tormentor. On a bad day.

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In addition, the witch cursed the children with a desire to use strip diagrams on a regular basis. [Fransel and Stetl walking like zombies by a house]

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Talk about cruel and unusual. As soon as Fransel and Stetl got home, they

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created the following strip diagram: As you can see, Fransel’s diagram is divided [Fransel and Stetl drawing a strip diagram]

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into 8 rectangles, while Stetl’s was divided into 6 rectangles.

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We can also tell that there is a total of 98 zits that have popped up since their unexpected encounter.

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How many zits did each child get? Well, when dealing with strip diagrams, the

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important thing to remember is that all rectangles are created equal. [3 equal rectangles of a strip diagram]

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Just because this one looks bigger than this one…

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…doesn’t mean it represents any more of… whatever it is we’re measuring.

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So really, we’ve got 14 total rectangles, and we have to divide the 98 zits evenly between them.

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Looks like a simple division problem:

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98 divided by 14 is… 7.

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So now we know each rectangle represents 7 zits…

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We can multiply by 8 to get Fransel’s total – 56…

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…and by 6 to get Stetl’s total – 42.

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Just to double-check our work… does 56 plus 42 equal 98? [Fransel and Stetl's total of zits per rectangle]

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You bet it does. Of course, none of this busy work distracts

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the children for one second from the fact that their appearances have been altered. [Fransel and Stetl running over to a mirror]

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Fortunately for them, their other cousins, Wansel and Spaetzl, have just been cursed

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by yet another witch with a lifetime supply of Clearasil… [Wansel and Spaetzl appear with a tube of clearasil]

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