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Aleonysh [2.5K]
3 years ago
9

A textbook store sold a combined total of 426 math and sociology textbooks in a week. The number of math textbooks sold was 88 m

ore than the number of sociology textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0
Let m and s be the number of math and sociology books sold respectively.

m=s+88 we are also told that:

m+s=426, using m found above in this equation gives you:

s+88+s=426 combine like terms on left side

2s+88=426  subtract 88 from both sides

2s=338  divide both sides by 2

s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.
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Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

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Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

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3x+3(2.5)=11.25

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Hence, each shirt costs $1.25, and each hat costs $2.5.

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Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

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The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

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