Question

A scale on a map shows that 2 inches = 25 miles.

Part A
How many inches on the map represent 60 miles?

Part B
How many miles are represented by 1/4 inch on the map?

Answer 1

i thought for A 4.8 and for B 175

Answer 2

am i correct?

Answer 3

**How many inches on the map represent 60 miles? ***
I would write a ratio
\[ \frac{2 \ inches}{25 \ miles} = \frac{x \ inches}{60 \ miles} \]

Answer 4

am i correct that its 4.8?

Answer 5

multiply both sides by 60 to find x
\[ \frac{2 \ inches}{25 \ miles} \cdot 60 \ miles = x\]

Answer 6

simplify 2*60/25 to get 4.8

Answer 7

thats 4.8

Answer 8

so I would say 4.8 inches

Answer 9

so then did i get part b correct as 175?

Answer 10

we know 2 inches is 25 miles
1/4 inch is shorter than 2 inches, so the miles will be less than 25

Answer 11

yes

Answer 12

write the ratio
\[ \frac{2 \ inches}{25 \ miles} = \frac{\frac{1}{4} \ inches}{x \ miles} \]

Answer 13

to solve, you can first "flip" both sides
\[ \frac{25 \ miles}{2 \ inches} = \frac{x \ miles}{\frac{1}{4} \ inches} \]

Answer 14

now multiply both sides by 1/4

Answer 15

no just working sorry im still here

Answer 16

ok i did this but for the last answer i got 175 miles

Answer 17

forget the ratios for the moment.
if 2 inches is 25 miles
what is 1 inch ?

Answer 18

12.5

Answer 19

if 1 inch is 12.5 miles
what is 0.5 inches ?

Answer 20

i.e what is 1/2 inch?

Answer 21

6.25

Answer 22

and 1/4 inch ?

Answer 23

ummm 6?

Answer 24

1 inch is 12.5
1/4 inch is ?

Answer 25

is it 3.125??

Answer 26

yes.

Answer 27

using ratios
\[ \frac{25 \ miles}{2 \ inches} = \frac{x \ miles}{\frac{1}{4} \ inches} \\
\frac{25 \ miles}{2 \ inches} \cdot \frac{1}{4} \ inches= \frac{x \ miles}{\frac{1}{4} \ inches} \cdot \frac{1}{4} \ inches
\]

Answer 28

you get
25/8 = x
or
x= 3.125

Answer 29

ok thank you!!

Answer 30

try to use common sense if you get stuck.

Answer 31

i get it now thanks!