A person throwing a party has had 93.5% of their invitations accepted. If they sent out 31 invitations, how many people are coming to their party? (If necessary, round to the nearest whole number).

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We can use the percent formula to solve. The percent formula is below: ^part⁄_whole = ^%⁄₁₀₀ Based on the text, these are the values we will plug into the percent formula to solve: Whole: the number of invites (31) Part: the number of acceptances (x) Percentage: 93.5% ^part⁄_whole = ^%⁄₁₀₀ ^x⁄₃₁ = ^93.5⁄₁₀₀ Cross multiply and solve for x: ^x⁄₃₁ = ^93.5⁄₁₀₀ 100 • x = 31 • 93.5 100x = 2,898.5 100x ÷ 100 = 2,898.5 ÷ 100 x = 28.98 We can see that the answer choices provided are whole numbers, so we want to round 28.98 to the nearest ten. x = 28.98 → 8 is in the tens place. The number directly to its right is 9. 9 is greater than five, so we will round the 8 up to 9. x = 29 So, 29 is 93.5% of 31.

A Person Throwing a Party Has Had 93