Ryan bought several pens at staples for 60 cents each . Spending the same amount of money at Rite Aid, Ryan then bought some pens that cost 80 cents each. In all , 42 pens were bought , How many pens did Ryan buy at Rite Aid

Ryan bought 18 pens at Rite aid

Step-by-step explanation:

In this question, we are to calculate the number of pens Ryan bought at Right aide

Let the number of pens Ryan bought at staples be x. Since each cost 60 cents each, the total amount of money he spent would be 60 * x = 60x cents

Let the number of pens bought at right aide be y. Now these pens cost 80 cents each. The total amount of money spent on these pens is 80y. We know that these amount is same as that spent at staples

Mathematically therefore,

60x = 80y•••••••••••(i)

The total number of pens bought is 42

Hence, mathematically

x + y = 42 •••••••(ii)

From ii we can see that x = 42 - y

Let’s now plug this into equation 1

60(42 - y) = 80y

2520 - 60y = 80y

140y = 2520

y = 2520/140

y = 18

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

42.4

step-by-step explanation:

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