Answer :
Answer:
13 quarters and 21 nickels
Step-by-step explanation:
In this problem, a random person has $4.30 in his/her piggy bank. That is only nickels (0.05) and quarters (0.25). There are 8 more nickels than quarters. With that info, I can use the equation 0.25x + 0.05(x + 8) = 4.3 to figure out how many nickels and quarters there are.
0.25x + 0.05(x + 8) = 4.3 (Use the distributive property to multiply 0.05 by x and 8)
0.25x + 0.05x + 0.4 = 4.3 (Add 0.25x to 0.05x to get 0.3x)
0.3x + 0.4 = 4.3 (Subtract 0.4 from both sides)
0.3x = 4.3 - 0.4 (Subtract 0.4 from 4.3)
0.3x = 3.9 (Divide both sides by 0.3)
x = 3.9/0.3 (Divide 3.9 by 0.3)
x = 13
Knowing that there are 8 more nickels than quarters, I can degree there are 13 quarters and 21 nickels.
Substitute x for 13 in the equation to see if this is true.
0.25(13) + 0.05(13 + 8) = 4.3
3.25 + 0.05(21) = 4.3
3.25 + 1.05 = 4.3
4.3 = 4.3
So, x is 13.
Answer:
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Step-by-step explanation: