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Brandon has pennies, nickels and dimes. He

has a total of $7.48. He has ten fewer dimes

than pennies and six times as many nickels

as dimes. How many of each coin does he 

have?

 Jan 10, 2022
 #1
avatar+1742 
+1

Brandon has 28 pennies, 18 dimes, and 108 nickels. 

 

Let's start by writing equations:

pennies = 10 + dimes,

nickels = 6 x dimes.

 

You know Brandon used a number of pennies ending in either 3 or 8, since he has a total of $7.48.

 

I didn't know how to proceed from here, so I had to guess and check lol. 

 Jan 10, 2022
 #2
avatar+36420 
+1

d = p - 10                               dime value =   10 ( p-10)

n = 6d = 6 ( p-10) = 6p -60     nickel value = 5 ( 6p-60)

p

 

p +    10( p-10)     +   5( 6p-60)       =   748

p = 28     then d = 18      n = 108  

 Jan 10, 2022
 #3
avatar
0

Ok good

Guest Jan 10, 2022
 #4
avatar+4 
0

Mathematics is the science and study of quality, structure, space, and change. ... Through abstraction and logical reasoning mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects

 Jan 10, 2022

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