The cost of one soda bought by both families is $5.
<h3>What is the total cost of shopping for each family?</h3>
The cost of purchase is the sum of number of items bought and their prices for each family.
Let us assume that x is for number of pretzels bought and y is for number of sodas bought, as a result, the total amount spent by each family and number of items bought are expressed thus:
5x+4y=30.....................(equation 1)
4x+5x=33 .....................(equation 2)
let us multiply equation 1 by 5
let us multiply equation 2 by 4
5*(5x+4y=30)25x+20x=150........(equation 3)
4*(4x+5x=33)16x+20x=132..........(equation 4)
equation 3 minus equation 4 is:
9x=18
x=18/9
x=2
price of pretzels is $2.00
Substitute for x in equation:
24x+5y=33(4*2)+5y=33
8+5y=33
5y=33-8
5y=25
y=25/5
y=5
price of one soda=$5
Find out more about simultaneous equations on:brainly.com/question/6597041
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