Question

For a business, investment made by family is $\frac{11}{3}$x + 213 and total investment received is 22x + 1278.

If total investment is $\text{a}$ times that of family investment, find the value of $\text{a}$.

• A. 3
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is C 6

Family investments = $\frac{11}{3}$x + 213
Total investment = 22x + 1278

Now,
22 can be factored as 6 × $\frac{11}{3}$

Similarly,
1278 can be factored as 6 × 213

Writing 22x + 1278 in terms of factors,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ ( $\frac{11}{3}$ × 6)x + (213 × 6)
⇒ 6 ( $\frac{11}{3}$x + 213)

Comparing with total investment
= $\text{a}$ × (Family investment)
$\therefore$ $\text{a}$ = 6