you have space in your garden for 55 small flowering bulbs. crocus bulbs cost $0.35 each, and daf-$0.35 each, and daf-$0.35 each, and daffodil bulbs cost $0.75 each. your budget allows you to spend $25.65 on bulbs. how many crocus bulbs and how many daffodil bulbs can you buy?

Respuesta :

We can buy 39 crocus bulbs and 16 daffodil bulbs under the budget. We got this number by solving the question using the concept of equations.

Let the number of crocus bulbs be ‘x’

& the number of daffodil bulbs be ‘y’

According to the question, space for flowering bulbs in garden is 55. So this will be written as :

x + y = 55--------(1)

y = 55 -x

Cost of crocus bulbs is $0.35 each

& cost of Daffodil bulbs is $0.75

Budget to spend is $25.65

The equation formed is :

0.35x + 0.75y = 25.65 ------(2)

By substituting the value of y from equation (1) and put it to equation (2)

We get,

0.35x + 0.75(55-x) = 25.65

0.35x + 41.25 – 0.75x = 25.65

0.4x = 15.6

x = 39

Put the value of x in the equation (1) to get the value of y

y = 55-39

y = 16

Hence the number of crocus bulbs and number of daffodil bulbs that we can buy is 39 and 16 respectively.

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