How do you solve it ?
Jack and two friends go to McDonald's, the options are:
OPTION 1 :2 HAMBURGERS AND 3 SODAS FOR 8 DOLLARS
OPTION 2: One more hamburger and one less soda with a dollar difference from Option 1.
If option 1 is more expensive, Jack and his friends determine that :
a hamburger costs USD:
And a soft drink costs USD:
Jack and two friends go to McDonald's, the options are:
OPTION 1 :2 HAMBURGERS AND 3 SODAS FOR 8 DOLLARS
OPTION 2: One more hamburger and one less soda with a dollar difference from Option 1.
If option 1 is more expensive, Jack and his friends determine that :
a hamburger costs USD:
And a soft drink costs USD:
1 Answer
The hamburger costs $1 and the soft drink costs $2.
Explanation:
We turn the two options to equations. We let h=hamburgers and s=soda(soft drink)
Option: 2 HAMBURGERS AND 3 SODAS FOR 8 DOLLARS
BECOMES
Option 2:One more hamburger and one less soda with a dollar difference from Option 1. And Option 1 is more expensive.
becomes
Since we have to eliminate one of the variables( we will go for h), we have to match the coefficient for the variable.
The LCM for 3 and 2 is 6.
We now line up the equations and subtract them.
becomes
Plug this value in for one of the equations to get
This is the answer!