Question

Alexis bakes 90 identical pizzas. Each pizza is cut either into 8 small slices or 6 large slices. There are 5 small slices for for every 3 large slices. How many of the 90 pizzas are cut into small slices?

Answer 1

Answer:

  50

Step-by-step explanation:

Let x represent the number of pizzas cut into small slices. Then the ratio of small to large slices is ...

  $\dfrac{8x}{6(90-x)}=\dfrac{5}{3}\\\\8x=10(90-x)\quad\text{multiply by 6(90-x) }\\\\18x=900\quad\text{add 10x }\\\\x=50\quad\text{divide by 18}$

50 of the 90 pizzas were cut into small slices.

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Check

The 50 pizzas cut into 8 small slices each results in 400 small slices. The 40 pizzas cut into 6 large slices each results in 240 large slices. The ratio of small slices to large slices is 400 : 240 = 5 : 3.