Question

At the local deli, David bought two ginger ales and two bagels for $6.60. Sumaiya bought four ginger ales and three bagels for $11.70.

Find the exact cost of one bagel and one ginger ale.


PLS HELP

Answer 1

Explanation:

let the ginger ales be $x and the bagels $y.

Case 1, 2x+2y=6.60 x+y=3.30 ......1

Case 2, 4x+3y=11.70. .....2

1, x+y=3.30...×4

2, 4x+3y=11.70...×1

1, 4x+4y=13.20

2, 4x+3y=11.70

(-) (-) (-)

____________

y=1.50

____________

now, placing the value of y in equation 1,

x+y=3.30

x+1.50=3.30

x=1.80

therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.

hope this helps you.