Total amount paid for the Austin's family = $61.2
Solution:
Number of persons went to the Museum = 6 (Austin + 5)
Fee for the Dinosaur exhibit for one person = $5.45
Fee for the Planetarium for one person = $4.75
Distributive property:
a × (b + c) = a × b + a × c
Total amount paid for the Austin's family = 6 × (5.45 + 4.75)
= 6 × 5.45 + 6 × 4.75
= 32.7 + 28.5
= 61.2
Total amount paid for the Austin's family = $61.2
Hence Austin's family paid $61.2 for the admission.