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Greta has two pet lizards, Draco and Lizzy. For every 1111 crickets Greta feeds Draco, she always feeds Lizzy 88 crickets. Last week, Greta fed Draco 7777 crickets.

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Full solution

Q. Greta has two pet lizards, Draco and Lizzy. For every 1111 crickets Greta feeds Draco, she always feeds Lizzy 88 crickets. Last week, Greta fed Draco 7777 crickets.
  1. Given Information: We know: Crickets fed to Draco: 7777 Ratio of crickets fed to Draco and Lizzy: 11:811:8 To find crickets fed to Lizzy, we need to set up a proportion.
  2. Set up Proportion: Set up the proportion: 1111 crickets (Draco) / 88 crickets (Lizzy) = 7777 crickets (Draco) / xx crickets (Lizzy)
  3. Solve for x: Solve for xx:\newline118=77x\frac{11}{8} = \frac{77}{x}\newlineCross-multiply to solve for xx:\newline11x=8⋅7711x = 8 \cdot 77
  4. Calculate Right Side: Calculate the right side: 11x=61611x = 616
  5. Find x: Divide both sides by 1111 to find xx: x=61611x = \frac{616}{11} x=56x = 56

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