Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coins in the two collections is 74, how many coins are in each collection?

If x represents the number of coins in Ted's collection, then which expression represents the number of coins in Mac's collection?

x + 2 (8)

2 (x + 8)

2x + 8

Question

Mathematics

Averi Rubio

31 January, 14:55

Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coins in the two collections is 74, how many coins are in each collection?

If x represents the number of coins in Ted's collection, then which expression represents the number of coins in Mac's collection?

x + 2 (8)

2 (x + 8)

2x + 8

+1

Answers (1)

Know the Answer?

Edwin Soto · Answer 1

If Ted's collection is x, then Mac's collection is twice as much, or 2x; 8 more than that is 2x+8. The combination of their coins would be (2x+8) + (x) and it equals 74; so the equation is 2x+8+x=74.

2x+8+x=74

3x=66

x=22

Since x represents Ted's collection, Ted has 22 coins and Mac has 52.