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Willy and Billy each have a rock collection. • The number of rocks in Willy’s collection can be represented by x. • The number of rocks in Billy’s collection is 2 2 3 times the number in Willy’s collection. • The total number of rocks in both collections is 110. What is x, the number of rocks in Willy’s collection?

Respuesta :

There are 30 rocks in Willy's collection.

Since the number of rocks in Willy's collection is x, the number in Billy's collection is (2 2/3)x or 8/3x.

x+(2 2/3)x = 110
(3 2/3)x=110
11/3x = 110

Dividing both sides by 11/3,
(11/3x)÷11/3 = 110÷11/3
x = 110÷11/3 = 110/1 ÷ 11/3 = 110/1 × 3/11 = 330/11 = 30

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