The magician Moolin can make two different spells: **Thunder— two vials of dragon tears and five vials of liquid pearl. Lightning— three vials of dragon tears and two vials of liquid pearl. **Moolin has vials of dragon tears and liquid pearl at a ratio of 4 to 5. If Moolin wants to use up all of its ingredients, what ratio of Thunder to Lightning should he make? Please give the answer as a fraction in the simplest term (e.g. if the ratio is 2:3, write 23).

Guest Jan 9, 2021

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The magician Moolin can make two different spells: Thunder— two vials of dragon tears and five vials of liquid pearl. Lightning— three vials of dragon tears and two vials of liquid pearl. Moolin has vials of dragon tears and liquid pearl at a ratio of 4 to 5. If Moolin wants to use up all of its ingredients, what ratio of Thunder to Lightning should he make? Please give the answer as a fraction in the simplest term (e.g. if the ratio is 2:3, write 23).

Thunder requires 2A Dragon tears and 3A liquid pearls

Lighting requires 3B Dragon tears and 2B liquid pearls

Moonshine has 4X Dragon tears and 5X liquid pearls

so

2A + 3B = 4X

3A + 2B = 5X

solve simultaneously and get all values in terms of just one.

Then look at the required ratio.

Melody Jan 10, 2021