Find the missing number, given percents of the number

The sum of 30% of a number and 50% of the same number is 96.  What is the number?

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x = the number

0.3x + 0.5x = 96   {changed percent to decimal and multiplied by number, added, and set equal to 96}
0.8x = 96   {combined like terms}
x = 120   {divided each side by 0.8}

the number is 120

- Algebra House