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Bogdan [553]
3 years ago
10

In three days Alexandra sold a total of 31 tickets to her school play. On Tuesday she sold as twice as many tickets as on Wednes

day. And on Thursday, she sold exactly seven tickets. How many tickets did Alexandra sell on each day Tuesday through Thursday?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

Alexander sold

8 tickets on Tuesday

16 tickets on Wednesday

7 tickets on Thursday

Step-by-step explanation:

Let us represent:

Number of tickets sold on Tuesday = a

Number of tickets sold on Wednesday = b

Number of tickets sold on Thursday = c

In three days Alexandra sold a total of 31 tickets to her school play.

a + b + c = 31...... Equation 1

On Tuesday she sold as twice as many tickets as on Wednesday.

2a = b

And on Thursday, she sold exactly seven tickets.

c = 7

Substitute 2a for b and 7 for c in Equation 1

a + b + c = 31...... Equation 1

a + 2a + 7 = 31

3a = 31 - 7

3a = 24

a = 24/3

a = 8 tickets

Note that

2a = b

a = 8 tickets

2 × 8 = 16 tickets

b = 16 tickets

Therefore, Alexander sold

8 tickets on Tuesday

16 tickets on Wednesday

7 tickets on Thursday

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