MATHEMATICS MIDDLE SCHOOL

big pictures are 56$ each small ones are 34$. 97 were sold at the total of 4,376. how many big and small pictures were sold

Answers

Answer 1

Answer:

Answer:

The number of big pictures are 49 and number of small pictures are 48 .

Step-by-step explanation:

Let us assume that the number of big pictures are x .

Let us assume that the number of small pictures are y .

As given

Big pictures are 56$ each small ones are 34$.

97 were sold at the total of $4,376.

Equations becomes

x + y = 97

56x + 34y = 4376

Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .

56x - 56x + 34y - 56y = 4376 - 5432

-22y = - 1056

22y = 1056

$y = (1056)/(22)$

y = 48

Put value of y in the equation x + y = 97

x + 48 =97

x = 97 - 48

x = 49

Therefore the number of big pictures are 49 and number of small pictures are 48 .

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You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members.How much will you get?

Answers

1750 - 70 = 1680
1680 / 14 = 120

Answer : $120.

I believe the answer is 120 since I was able tot check on a calculator

A group of friends went out for dinner and decided to split the cost of the bill equally. If each person contributed $32, the friends would have $18 more than they needed for the bill but not enough for a 15% tip. If each person contributed $35, they would cover the bill and a 15% tip and have $6.30 left over. How much was the bill, and how many friends went out for dinner?

Answers

Answer:

The number of friends that went out for dinner is 8

And their bill is $238

Step-by-step explanation:

Let's assume that the number of friends that went out for dinner to be x

And the bill for the dinner to be y

If each person contributed $32 and paid off the bill,they will have a balance of $18

32x - 18 = y_____equation 1

If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30

35x - 6.3 = y + (15% of y)

35x - 6.3 = y + (3y/20)

Open up the bracket

35x - 6.3 =(20y + 3y)/20

700x - 126 = 23y______equation 2

From equation 1,y = 32x - 18

Put the above in equation 2 and we have

700x - 126 = 23(32x -18)

700x - 126 = 736x - 414

collect like terms

36x = 288

x = 288/36

x = 8

Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .

Substitute and we have

(32 × 8) - 18

y = 238

The number of friends that went out for dinner is 8

And their bill is $238

Convert one third to a decimal