Question

13. Find the value of x in each of the following:
(0) 16=% of x = 15
(ii) x% of 800 = 60
3
(iii) 20% of 350 + x% of 700 = 26% of 700
(iv) x% of 500 - 4.8% of 250 = 15% of 230​

Answer 1

$\Large\underline\mathbb\blue{ANSWER}$

1. $\: \: \: \: \: \: \: \: \: \mathtt{16\% \: of \: x = 15 } \\ {\implies \tt{ \frac{16 \times x}{100} = 15 }} \\ \implies \tt{16x = (15)(100)} \\ \implies \tt{x = \frac{1500}{16} } \\ \implies \tt\pink{ \boxed{93.75}}$
2. $\: \: \: \: \: \: \: \: \: \: \: \tt{x\% \: of \: 800 = 60} \\ \implies\tt{ \frac{x}{100} \times 800} = 60 \\ \implies \tt{8x = 60} \\ \implies \tt{ \pink{ \boxed{x = 7.5}}}$
3. $\: \: \: \: \: \: \: \: \: \: \: \tt{20\% \: of \: 350 + x\% \: of \: 700 = 26\% \: of \: 700 } \\ \implies \tt{ \frac{20 \times 350}{100} + \frac{x \times 700}{100} } = \frac{26 \times 700}{100} \\ \implies \tt{ \frac{7000}{100} + \frac{700x}{100} = \frac{18200}{100} } \\ \implies \tt{ \frac{7000 + 700x}{100} = 182} \\ \implies \tt{7000 + 700x= 182 \times 100} \\ \implies \tt{700x = 18200 - 7000} \\ \implies \tt{x = \frac{11200}{700} } \\ \implies \pink{ \tt\boxed{x =16 }}$
4. $\: \: \: \: \: \: \: \: \: \: \: \: \tt{x\% \: of \: 500 - 4.8\% \: of \: 250 = 15\% \: of \: 230} \\ \implies \tt{ \frac{500x}{100} - \frac{4.8 \times 250}{100} = \frac{15 \times 230}{100} } \\ \implies \tt{ \frac{500x - 12000}{100} = \frac{3450}{100} } \\ \implies \tt{500x = 3450 - 12000} \\ \implies \tt{x = \frac{ - 8550}{500} } \\ \implies \boxed{x = 17.1}$

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