Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?

15 days

Step-by-step explanation:

a) Li uses = 8.4 grams of sugar every day in her tea.

Li’s sugar canister contains = 128 grams of sugar

Let x be the number of days at which Li uses sugar in her tea

The Equation for Li's sugar usuage =

y = 128 - 8.4x Equation 1

Where y , the quantity of sugar left.

b) Sue uses = 12.6 grams of sugar every day in her coffee.

Sue’s canister contains = 191 grams

Let x be the number of days at which Sue uses sugar in her tea

The Equation for Sue's sugar usuage =

y = 191 - 12.6x Equation 2

Where y , the quantity of sugar left.

We are asked in the question, how many days will Li and Sue have the same amount of sugar in their canisters

We would equate both equations to each other.

Equation 1 = Equation 2

y = 128 - 8.4x = y = 191 - 12.6x

128 - 8.4x = 191 - 12.6x

-8.4x + 12.6x = 191 - 128

4.2x = 63

x = 63/4.2

x = 15

15 days

Therefore Li and Sue have the same amount of sugar in their canisters after 15 days.

To confirm

Equation 1 = Equation 2

y = 128 - 8.4x = y = 196 - 12.6 × 15

y = 128 - 8.4 × 15 = y = 196 - 12.6 × 15

y = 128 - 126 = y = 196 - 189

y = 2 = y = 2

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