Question

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At

this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?

Answer 1

Yes

Explanation:

Given

• 380 tickets in possession
• 5 tickets → large action fig.
• 7 tickets → 2 small action fig.
• Boy wants 4 times small action fig. as large action fig.

Solving

• We need to find if he can get 80 small fig.
• S = 80
• 5L + 7(2S) = 380
• 5L + 280 = 380
• 5L = 100
• L = 20
• Now, our condition was that : [number of small fig. = 4 x number of large fig.]
• 80 (small) = 4 x 20 (large) [∴ verified]
• ⇒ He can get 80 small action figures

Answer 2

yes the boy can get 80 small action figures