4 specials and 2 glasses of milk = $28.00. 3 specials and 4 glasses of milk = $26.25. How much does it cost for 2 specials and 2 glasses of milk?
Question
Answer:
First, we should write the equation system of the problems stands for special, m stands for milk
⇒ 4s + 2m = 28.00 (first equation)
⇒ 3s + 4m = 26.25 (second equation)
Solve the first and second equation using elimination method. I'm going to eliminate m, so we can calculate s.
4s + 2m = 28.00 (multiply 2)
3s + 4m = 26.25 (multiply 1)
-------------------------------------
8s + 4m = 56.00
3s + 4m = 26.25
----------------------- - (substract)
5s = 30.25
s = 6.05
I'm using subtitution method to find m. Subtitute 6.05 as s to one of the equation.
4s + 2m = 28.00
4(6.05) + 2m = 28.00
24.20 + 2m = 28.00
2m = 3.80
m = 1.90
The cost for a glass of milk is $1.90 and a special is $6.05
Calculate cost for 2 specials and 2 glasses of milk
2s + 2s
= 2(6.05) + 2(1.90)
= 12.10 + 3.80
= 15.90
The cost for 2 specials and 2 glasses of milk is $15.90
solved
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11 months ago
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