Question

Solving with Decimals
Solve this linear equation for p.

2.6(5.5p – 12.4) = 127.92

1.  Distributive property: 14.3p − 32.24 = 127.92
2.  Addition property of equality: 14.3p − 32.24 + 32.24 = 127.92 + 32.24
14.3p = 160.16
3.  Division property of equality:
14.3p
14.3
=
160.16
14.3
4.  Solution: p =

Answer 1

4. Division: p = 160.16 ÷ 14.3 = 11.2

Check: 2.6(5.5·11.2 − 12.4) = 2.6(61.6 − 12.4) = 2.6(49.2) = 127.92 ✓

Solution: p = 11.2