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mote1985 [20]
3 years ago
9

Elise took all of her cans and bottles from home to the recycling plant. The number of cans was one more than four times the num

ber of bottles. She earned $0.10 for each can and $0.12 for each bottle, and ended up earning $2.18 in all. How many cans and bottles did she recycle?
Mathematics
1 answer:
zmey [24]3 years ago
4 0
0.10c + 0.12b = 2.18
c = 4b + 1

0.10(4b + 1) + 0.12b = 2.18
0.40b + 0.10 + 0.12b = 2.18
0.40b + 0.12b = 2.18 - 0.10
0.52b = 2.08
b = 2.08 / 0.52
b = 4 <==== she had 4 bottles

c = 4b + 1
c = 4(4) + 1
c = 16 + 1
c = 17 <=== she had 17 cans

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janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if
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Answer:

"She invested $2500 in 5% account and $5500 in 8% account"

Step-by-step explanation:

Let the amount invested in 5% account be "x"

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Interest amount is the percentage multiplied by amount invested. So

Interest of 5% account = 5% of x = 0.05x

Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)

Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

0.05x + 0.08(8000 - x) = 565\\0.05x+640-0.08x=565\\0.03x=75\\x=2500

and thus,

"8000 - x" = 8000 - 2500 = 5500

Hence,

She invested $2500 in 5% account and $5500 in 8% account

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