Lisa has 12 more stickers than John, and together they have 60 stickers. What is the ratio of the number of Lisa’s stickers to the number of John’s stickers? Help please!!

Respuesta :

Answer:

The ratio of the number of Lisa’s stickers to the number of John’s stickers is 3/2

Step-by-step explanation:

Step 1

Let

x ----> the number of stickers that Lisa has

y ----> the number of stickers that John has

we know that

[tex]x+y=60[/tex] ------> equation A

[tex]x=y+12[/tex] ----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

[tex](y+12)+y=60\\ 2y=60-12\\ 2y=48\\ y=24[/tex]

Find the value of x

[tex]x=y+12[/tex] -----> [tex]x=24+12=36[/tex]

therefore

Lisa has 36 stickers  and John has 24 stickers

Step 2

Find the ratio of the number of Lisa’s stickers to the number of John’s stickers

so

x/y

substitute

[tex]\frac{36}{24}=\frac{3}{2}[/tex]

Answer:

3:2 or 3/2

Step-by-step explanation:

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