Question

Solve for j in the proportion.

j/50 = 77/70
j = __________?

a) j = 77/70 x 50
b) j = 50/70 x 77
c) j = 70/77 x 50
d) j = 77/50 x 70

Answer 1

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