Pablo has scored \( 72,94,64,73 \), and 68 on his previous five tests. What score does he need on his next test so that his average (mean) is 73 ?

1. Write the average condition for Pablo's six tests. Let the score on his next test be \( x \). Then the average is given by \[ \frac{72+94+64+73+68+x}{6} = 73. \] 2. First, calculate the sum of the five given scores: \[ 72 + 94 + 64 + 73 + 68 = 371. \] 3. Substitute this back into the equation: \[ \frac{371+x}{6}=73. \] 4. Multiply both sides by \( 6 \) to solve for \( x \): \[ 371+x = 73\times 6. \] 5. Compute \( 73 \times 6 \): \[ 73\times 6 = 438. \] 6. Now, solve for \( x \): \[ x = 438 - 371 = 67. \] Thus, Pablo needs to score \( 67 \) on his next test to achieve an overall average of \( 73 \).