Question 1202541: It is estimated that each guest at a party will eat 3/7 pounds of chocolates. How many guests can be served with 9 pounds of chocolate? Found 3 solutions by josgarithmetic, ikleyn, math_tutor2020:Answer by josgarithmetic(39617) (Show Source):
To answer this question, divide 9 pounds by pounds, which value is "the consumption rate per person" in this problem.
The calculation is presented in the next line, which follows
"How many guests" = = = 3*7 = 21.
ANSWER. 21 guests.
1 guest eats 3/7 of a pound of chocolate.
n guests eat (3/7)n pounds of chocolate.
(3/7)n = 9
3n = 7*9
3n = 63
n = 63/3
n = 21
Answer: 21 guests can be served.
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Another approach:
Draw 9 rectangles to represent the 9 pounds of chocolate.
Split each rectangle into 7 equal smaller pieces. There will be 7*9 = 63 smaller pieces.
Each small piece represents 1/7 of a pound of chocolate.
Each guest eats 3/7 of a pound. It means each person eats 3 smaller blocks, so 63/3 = 21 guests can be served.
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