Question

HELPPPPP!!!

Jack and Joey went to the store to buy candy. Jack bought 5 Hershey bars and 2 packs of
starbursts for $12. Joey bought 3 Hershey bars and 4 packs of starbursts for $13.50. Let x equal the cost of one Hershey bar and y equal the cost of one pack of starbursts.
8a) Write a system of equations that describes the situation above.

8b) using the equations from part a, determine the cost of one Hershey bat and the cost of one pack of starburst in dollars and cents

Answer 1

5x + 2y = 12

3x + 4y = 13.50

One Hersey bar = 1.5

One pack of Starburst = 2.25

Explanation:

Let :

Cost of one Hersey bar = x

Cost of one pack of Starburst = y

System of equation :

For Jack :

5x + 2y = 12 - - - (1)

For Joey :

3x + 4y = 13.50 - - - (2)

To determine the cost per Hersey bar and pack of Starburst

5x + 2y = 12 - - - (1)

3x + 4y = 13.50 - - (2)

Multiply (1) by 3 and (2) by 5

15x + 6y = 36 - - - (3)

15x + 20y = 67.50 - - - (4)

Subtract (4) from (3)

-14y = - 31.50

y = 31.50 / 14

y = 2.25

Using (1)

5x + 2y = 12

Put y = 2.25

5x + 2(2.25) = 12

5x + 4.50 = 12

5x = 12 - 4.50

5x = 7.50

x = 1.5