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mustafaserang582
03.01.2020 •
Mathematics
Sam has 3 types of toys. teddy bears cost $10, toy cars cost $7, and legos cost $13. the total cost of his 15 toys is $171. there are five times as many legos as there are teddy bears. how many toys of each type are there?
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Ответ:
2 bears, 3 toy cars, and 10 legos
Step-by-step explanation:
We have 2 things going on here: the NUMBER if toys and the COST of the toys. They are not similar so they cannot be combined. We have to have 1 equation represent each.
First, the NUMBER of toys:
We are told that he has 15 toys altogether, and they are bears, cars, and legos. b = bears, c = cars, l = legos, ok? The equation for the number of toys is:
b + c + l = 15. But we are told then that the number of legos is 5 times more than bears, so l = 5b. We make the replacement:
b + c + 5b = 15 and
6b + c = 15
Next we deal with the COST. If each bear costs $10, we represent that as 10b; if each car costs $7, we represent that as 7c; if each set of legos costs $13, we represent that as 13(5b) = 65b. So the equation for the cost is
10b + 7c + 13(5b) = 171 and
75b + 7c = 171
Now we have 2 equations with only 2 unknowns so we solve this system using the method of elimination/addition. We can cancel out the c terms if we multiply the first equation by -7 to give us the new system:
75b + 7c = 171
-42b - 7c = -105
The c's are gone, leaving us with
33b = 66 and b = 2.
Now sub that in to folve for c:
6(2) + c = 15 and
c = 3.
Sub both of those in to find l:
2 + 3 + l = 15 and
l = 10
Ответ:
discount of 25% means you're paying (100% -25%) = 75% of the original price. An additional discount of 20% means you're paying (100% -20%) = 80% of the discounted price. In the end, you're paying
$3.00*75%*80% = $1.80
The final price of the cereal is $1.80.
plz mark as brainliest answer