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Yesterday, there were $80$ problems assigned for math homework. Alan did $70\%$ of them correctly. How many problems did Alan get right? $\newline$ $\_\_\_\_$ problems

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Percents of numbers: word problems

Full solution

Q. Yesterday, there were

80

problems assigned for math homework. Alan did

70\%

of them correctly. How many problems did Alan get right?

\newline

\_\_\_\_

problems

Calculate $70$ % of $80$ : First, we need to find out how many problems $70\%$ of $80$ is. We do this by multiplying $70\%$ (or $0.7$ ) by $80$ . $\newline$ Calculation: $0.7 \times 80 = 56$
Verify the Calculation: Next, we check if the calculation is correct by reversing the operation. If we divide $56$ by $80$ and convert it to a percentage, we should get $70\%$ . $\newline$ Calculation: $(\frac{56}{80}) \times 100 = 70\%$

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