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For his science fair project, Bryan is comparing slime recipes. For one batch, he weighs out 934 ounces of liquid starch and mixes it with 2 bottles of glue. For the other batch, he weighs out 734 ounces of liquid starch and mixes it with 212 bottles of glue. Both batches end up weighing the same amount.Which equation can you use to find w, the weight of a bottle of glue in ounces?9.75–2w=7.75–2.5w9.75+2w=7.75+2.5wHow much does a bottle of glue weigh?Simplify any fractions. ounces

Question

For his science fair project, Bryan is comparing slime recipes. For one batch, he weighs out 934 ounces of liquid starch and mixes it with 2 bottles of glue. For the other batch, he weighs out 734 ounces of liquid starch and mixes it with 212 bottles of glue. Both batches end up weighing the same amount.Which equation can you use to find w, the weight of a bottle of glue in ounces?9.75–2w=7.75–2.5w9.75+2w=7.75+2.5wHow much does a bottle of glue weigh?Simplify any fractions. ounces

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Solution

The problem seems to have some inconsistencies. The weights of the liquid starch and the number of glue bottles do not match the given equations. However, if we assume that the weights of the liquid starch and the number of glue bottles are represented by 9.75 and 7.75, and 2 and 2.5 respectively, we can solve the problem.

The equation that represents this situation is 9.75 - 2w = 7.75 - 2.5w.

To find the weight of a bottle of glue, we first need to isolate w. We can start by adding 2.5w to both sides of the equation to get rid of the -2.5w on the right side:

9.75 - 2w + 2.5w = 7.75 - 2.5w + 2.5w This simplifies to: 9.75 + 0.5w = 7.75

Next, we subtract 9.75 from both sides to isolate the w term: 0.5w = 7.75 - 9.75 0.5w = -2

Finally, we divide both sides by 0.5 to solve for w: w = -2 / 0.5 w = -4

This suggests that a bottle of glue would weigh -4 ounces, which is not possible. Therefore, there seems to be a mistake in the problem as it is currently stated.

This problem has been solved

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