One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish. Find the ratio of the amount of money Mrs. O pays for the swordfish to the amount of money she pays for the swordfish.

I know the answer is 9:4, but how would you do this without algebra?

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-12-15T08:52:59+01:00

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both = $ 39

I.e 2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = [tex]\frac{39}{6}[/tex] = [tex]\frac{13}{2}[/tex]

∴ sw = [tex]\frac{13}{2}[/tex] × [tex]\frac{3}{2}[/tex]

or, sw = [tex]\frac{39}{4}[/tex]

Now, the ratio of the amount for swordfish to the amount of salmon = [tex]\frac{\frac{39}{4}}{\frac{13}{2}}[/tex]

I.e The ratio = [tex]\frac{6}{4}[/tex]

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer