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Let's write down what we do know:
x songs and y pictures
His total uploads is 11.
Thus his equation would be x +y=11
four times as many songs as Jonathan (4x) and twice as many pictures (2y)
Her total uploads is 24.
Thus her equation is 4x+2y=24.
Let's try the substitution method:
Solve for y on Jonathan's equation
x+y=11 (subtract x from both sides)
Substitute y=(-x+11) into 4x+2y=24
4x+2(-x+11)=24 (distribute the 2 to the stuff in the parenthesis)
4x-2x+22=24 (combine like terms)
2x+22=24 (subtract 22 from both sides)
2x=2 (divide by 2)
Use x=1 into Jonathan's equation.
1+y=11 (subtract 1 from both sides)
Therefore Jonathan uploaded 1 song and 10 pictures.
Let's check our work by using Alissa equation:
4(1)+2(10)=24! Which is the right answer.
Thus our answer for this problem is 1, since Jonathan only uploaded 1 song. (Remember x refers to the number of songs, and y refers to the number of pictures.)
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