Final answer:
To solve for j in the given proportion, you multiply 77/70 by 50. The correct setup is j = (77 × 50) / 70, which simplifies to j = 55.
Step-by-step explanation:
To solve for j in the proportion j/50 = 77/70, you multiply both sides of the equation by 50. This will isolate j on one side of the equation, giving you the value of j. The multiplication should be set up as follows:
j = 77/70 × 50
Based on the options provided, the correct one is:
b) j = 50/70 × 77
However, it is important to note that there is a typo in the options, since mathematically, both expressions) j = 50/70 × 77 and a) j = 77/70 × 50 are equivalent due to the commutative property of multiplication. So, the correct answer is:
j = × 50
When you do the calculation, you find that j equals:
j = (77 × 50) / 70
j = 3850 / 70
j = 55