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Digiron [165]
4 years ago
4

This system of equations represents Reese’s pocket change. Let n represent the number of nickels and d represent the number of d

imes Reese has in his pocket. n + d = 11 5n + 10d = 70 How many dimes are in Reese’s pocket?
Mathematics
2 answers:
Mashutka [201]4 years ago
6 0

Answer: 3 dimes

Step-by-step explanation:

Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket.

Given system : n+d=11........(1)\\5n+10d=70............................(2)

Divide equation (2) by 3 on both sides, we get

n+2d=14................................(3)

Subtract equation (1) from (3), we get

d=3

Hence, there are 3 dimes in Reese's pocket.

SIZIF [17.4K]4 years ago
5 0

Answer:

3 dimes are in Reese's pocket.

Step-by-step explanation:

Here, n represent the number of nickels and  d represent the number of dimes.

Given the system of equations:

n+d = 11           .....[1]

5n+10d = 70             .....[2]

Multiply both sides by 5 in [1] we have;

5n+5d=55             .....[3]

Subtract equation [3] from [2] we have;

5d = 15

Divide both sides by 5 we have;

d = 3

Therefore, 3 dimes are in Reese's pocket.

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