Question

Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink?

A. The burger cost $4; the drink cost $3.
B. The burger cost $2; the drink cost $4.
C .The burger cost $5; the drink cost $3.
D. The burger cost $3; the drink cost $2.

Answer 1

2 burgers and 4 drinks= $20 while 2 burgers and 2 drinks=$14

if the burger cost was $2 and the drink cost was $4, Emily would've spent $20 while Deja would've spent $12, so B's wrong

if the burger cost was $5 and the drink cost was $3, Emily would've spent $22, so C's incorrect, too

if the burger cost was $3 and the drink cost was $2, Emily would've spent $14 and Deja would've spent $10 so D's false as well

Therefore A's correct

Explanation:

the burger cost is $4 and the drink cost is $3, Emily spent $20 and Deja spent $14

t=total, bc= burger cost, dc=drink cost

Emily's Equation:

t= 2(bc)+4(dc)

t=2(4)+4(3)

t=8+12

t=20

20=20

Deja's Equation

t=2(bc)+2(dc)

t=2(4)+2(3)

t=8+6

t=14

14=14

Answer 2

A

Explanation:

2(4)+4(3) =20

8+12=20 yes

--------------------------

2(4)+2(3)=14

8+6=14 yes