Rose purchased a total of 17 books and toys for the Rupert Play School. Each book costs $11 and each toy costs $6. How many books and toys did she buy for $157?

The number of books and toys did she buy for $157 is 6 toys and 11 books.

Given that,

Based on the above information, the calculation is as follows:

b + t = 17

b = 17 - t

11b + 6t = 157

11(17-t)  +  6t = 157

187 - 11t + 6t = 157

30 = 5t

t = 6

And, b = 17 - 6

= 11

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6 toys; 11 books

Step-by-step explanation:

Let the number of books bought be represented by b.

Let the toys brought be represented by t.

b + t = 17

11b + 6t = 157

11 × (b + t = 17)

1 × (11b + 6t = 157)

11b + 11t = 187

11b + 6t = 157

Subtract from each other

5t = 30

t = 30/5 = 6

6 toys were bought

Since b + t = 17

b = 17 - 6 = 11

11 books were bought

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step-by-step explanation: