Answer :
Answer:
[tex]\frac{7}{12}[/tex] of his take-home pay is left left after paying these two items.
Step-by-step explanation:
Let Jerell has x money.
Given that, Jerell spends [tex]\frac16[/tex] on his car payment and [tex]\frac14[/tex] on food.
He spend = [tex](\frac16+\frac14)x[/tex]
6=2×3
4=2×2
L.C.M of 6 and 4 is 2×3×2= 12
12÷6= 2, 12÷4=3
Then [tex](\frac16+\frac14)x[/tex]
[tex]=\frac{(1\times2)+(1\times 3)}{12}x[/tex]
[tex]=\frac{2+3}{12}x[/tex]
[tex]=\frac5{12}x[/tex]
In fraction, the total money he has before spending is 1.
Therefore, the left money is[tex]= (x-\frac{5}{12}x)[/tex]
[tex]=\frac{(1\times12)-(5\times1)}{12}x[/tex]
[tex]=\frac{12-5}{12}x[/tex]
[tex]=\frac{7}{12}x[/tex]
[tex]\frac{7}{12}[/tex] of his take-home pay is left after paying these two items.