1. A certain restaurant has room for 120 customers. On one night, there are 72 customers dining. Write and solve an inequality to show how many more people can eat at the restaurant
2. Leo is 8 years older than Kat. Five years ago Kat is one-third as old as Leo. What are their present ages?
3. The sum of two consecutive even integers is less than 60 but greater than 24
Find at least 3 pairs of numbers?
Answers
Question :- Leo is 8 years older than Kat. Five years ago Kat is one-third as old as Leo. What are their present ages ?
Answer :-
Let us assume that, Present age of kat is x years.
so,
→ Leo present age = (x + 8) years.
then,
→ 5 years ago, kat was = (x - 5) years old.
→ 5 years ago, Leo was = (x + 8) - 5 = (x + 3) years old.
A/q,
→ Kat 5 years ago = (1/3) of Leo was .
→ (x - 5) = (1/3)(x + 3)
→ 3(x - 5) = (x + 3)
→ 3x - 15 = x + 3
→ 3x - x = 3 + 15
→ 2x = 18
→ x = 9
therefore,
→ Present age of kat = x = 9 years. (Ans.)
→ Present age of leo = (x + 8) = 9 + 8 = 17 years. (Ans.)
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