Mr. Castle shares 80 marbles between Emily and Asif in the ratio of 7:1.
How many marbles will each child get?
Answer (3)
Emily receives 70 marbles and Asif receives 10 marbles, based on the 7:1 ratio of sharing 80 marbles.
Mr. Castle shares out 80 marbles between Emily and Asif in the ratio of 7:1. The total ratio is 7+1 which equals 8 parts.
Since the total number of marbles is 80, we divide 80 marbles into 8 parts. This gives us 10 marbles per part; hence Emily gets 7 parts and Asif gets 1 part.
Emily's marbles: 7 parts x 10 marbles per part = 70 marbles
Asif's marbles: 1 part x 10 marbles per part = 10 marbles
x − A s i f ′ s ma r ab l es 7 x − E mi l i ′ s ma r ab l es x + 7 x = 80 8 x = 80 ∣ : 8 x = 10 7 ∗ 10 = 70 A s i f g e t 10 ma r ab l es an d E mi l y g e t 70.
Emily receives 70 marbles and Asif receives 10 marbles from a total of 80 marbles shared in a ratio of 7:1. This is calculated by first determining the total parts of the ratio and then finding the value of one part. By multiplying each child's part by the value of one part, we find their respective shares.
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