Question

Question content area top left
Part 1
Complete each statement below.
a. 56 font size decreased by 5 : font size decreased by 5 70equals80 ​: ​?
b. 72 font size decreased by 5 : font size decreased by 5 96equals​? ​: 120
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Question content area top right
Part 1
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90
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120
Question content area bottom
Part 1
a. 56 font size decreased by 5 : font size decreased by 5 70equals80 font size decreased by 5 : font size decreased by 5 nothing

Answer 1

Interpreting the problems as proportions:

a) 56 : 70 = 80 : x
56/70 = 80/x ⇒ 56x = 70·80 ⇒ x = (70·80)/56 = 100

b) 72 : x = 96 : 120
72/x = 96/120 ⇒ 72·120 = 96·x ⇒ x = (72·120)/96 = 90

So a = 100 and b = 90.