The graph shows the type and number of coins that three students plan to donate during a coin drivefundraiser.Coin Drive DonationsSeanRuthNeil8100 24 6NumberNickels DimesQuartersIf the total number of nickels the students donate is increased to 30, how many dimes should they donate tokeep the ratio of total nickels to total dimes the same?35393741

The graph shows the type and number of coins that three students plan to donate during a coin drivefundraiserCoin Drive DonationsSeanRuthNeil8100 24 6NumberNick class=

Respuesta :

Answer:

39 dimes

Explanation:

From the graph:

• Total number of nickels = 9+4+7=20

,

• Total number of dimes = 7+10+9 = 26

The ratio of total nickels to total dimes = 20:26

If the total number of nickels the students donate is increased to 30, we have:

[tex]\frac{\text{Total Nickels}}{\text{Total Dime}}\colon\frac{20}{26}=\frac{30}{x}[/tex]

We then solve for x:

[tex]\begin{gathered} 20x=30\times26 \\ x=\frac{30\times26}{20} \\ x=39 \end{gathered}[/tex]

The number of dimes they should donate to keep the ratio of total nickels to total dimes the same is 39.

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