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 ngure, and 7 tickets can be
exchanged for 2 small action Noures, The boy wants 4 times as many small action figures as
large action naures. Based on this information, can the boy get 80 small action figures?
F. No, because he would not have enough tickets for 20 large action figures
G Yes, because he would still have enough tickets for 320 large action figures
H No, because he would not have enough tickets for 320 large action figures
3
Yes, because he would still have enough tickets for 20 large action figures

Step-by-step explanation:

Hi there,

If the boy wants 80 small action figures

that is equivalent to 40 x 7 (as 7 tickets

gives him 2 small action figures)

= 280 tickets.

The 380 tickets he has originally minus the

280 leaves 100 tickets to get 20 large action figures

(100/5)

He will have 80 small and 20 large action figures

80:20 = 4:1

Hope this helps:-)

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.