Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q
Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters.
p + d + p = 43 (1)
p = d (2)
p +10d +25q = 451 (3)
Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.
Put the results of 2 into 1.
2p + q = 43 (4)
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q = 451 (5)
Solve the new equations
2p + q = 43 (4)
11p + 25q = 451 (5)
Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075 (6) Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624 Divide by 39
p = 624 / 39
p = 16
Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11
Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275 = ?
451 = ?
Nice problem. Thanks for posting.
40+60 is 100 if that’s what you’re asking
Answer:
203.5 so you can pick 168 because it's closer to the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
he picked 11 tomatoes per plant, 55 ÷ 5 = 11 so all answers that dont include an 11 are incorrect, A and C are wrong
because the tomato plants are listed before the tomatoes picked in the ratio that means that the number of plants has to be first, and the number of tomatoes has to be second. that means the answer is D, 1 plant: 11 tomatoes
Answer:
or 
Step-by-step explanation:
1.Find the Least Common Denominator (LCD)
LCD = 6
2.Make the denominators the same as the LCD.
3.Simplify. Denominators are now the same
4. Join the denominators
5.Simplify
=
