Question

jazzlyn and hashim borrowed a total of 36 dollars from their parents to buy new books for school. jazzlyn borrowed 8 dollars more than hashim. the system of equation shown models this scenario. j = h + 8, j + h = 36. where j is the amount of money jazzlyn borrowed and h is the amount of money hashim borrowed. how much money did each person borrow? jazzlyn borrowed $22, and hashim borrowed $14. jazzlyn borrowed $8, and hashim borrowed $26. jazzlyn borrowed $15, and hashim borrowed $20. jazzlyn borrowed $21, and hashim borrowed $14.

Explanation:

Step1: Substitute $j = h + 8$ into $j+h = 36$

$(h + 8)+h=36$

Step2: Combine like - terms

$2h+8 = 36$

Step3: Subtract 8 from both sides

$2h=36 - 8$
$2h = 28$

Step4: Divide both sides by 2

$h=\frac{28}{2}=14$

Step5: Find the value of $j$

Since $j = h + 8$, then $j=14 + 8=22$

Answer:

Jazzlyn borrowed $22$ dollars and Hashim borrowed $14$ dollars.